112:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Factorización y fracciones algebraicas:@0.073089:0.043661:0.408833:0.043661:0.408833:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.1 Factorización por factor común y factor común por agrupación:@0.293660:0.238504:0.813124:0.238504:0.813124:0.221557:0.293660:0.221557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factorizar:@0.293660:0.265866:0.369934:0.265866:0.369934:0.249196:0.293660:0.249196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 se refiere a la descomposición de un polinomio en el producto de otros :@0.370142:0.265866:0.931114:0.265866:0.931114:0.249432:0.370142:0.249432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomios de grado inferior al dado.:@0.293660:0.282508:0.561607:0.282508:0.561607:0.266074:0.293660:0.266074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen varias técnicas de factorización, y en este tema vamos a tratar la factorización de :@0.293660:0.309870:0.931398:0.309870:0.931398:0.293436:0.293660:0.293436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un polinomio por factor común.:@0.293660:0.326512:0.527051:0.326512:0.527051:0.310078:0.293660:0.310078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Algunas de las expresiones matemáticas que modelan el movimiento de las ondas que :@0.293660:0.353873:0.931387:0.353873:0.931387:0.337440:0.293660:0.337440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transportan energía, son::@0.293660:0.370515:0.473900:0.370515:0.473900:0.354081:0.293660:0.354081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A sen:@0.474401:0.397882:0.521662:0.397882:0.521662:0.381476:0.474401:0.381476:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.484204:0.397882:0.498230:0.397882:0.498230:0.381448:0.484204:0.381448:0.000000:0.000000:0.000000
?:@0.488161:0.397744:0.494291:0.397744:0.494291:0.383695:0.488161:0.383695:0.000000
 ( t):@0.521607:0.397882:0.553023:0.397882:0.553023:0.381448:0.521607:0.381448:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.530351:0.397328:0.542628:0.397328:0.542628:0.383612:0.530351:0.383612:0.000000
A cos :@0.655112:0.397882:0.705039:0.397882:0.705039:0.381476:0.655112:0.381476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.664923:0.397882:0.678949:0.397882:0.678949:0.381448:0.664923:0.381448:0.000000:0.000000:0.000000
?:@0.668880:0.397744:0.675010:0.397744:0.675010:0.383695:0.668880:0.383695:0.000000
( t):@0.704995:0.397882:0.732477:0.397882:0.732477:0.381448:0.704995:0.381448:0.000000:0.000000:0.000000:0.000000
v:@0.709800:0.397328:0.722077:0.397328:0.722077:0.383612:0.709800:0.383612:0.000000
Si   es un factor, :@0.293685:0.425244:0.417934:0.425244:0.417934:0.408810:0.293685:0.408810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.310509:0.425244:0.320394:0.425244:0.320394:0.408838:0.310509:0.408838:0.000000
sen:@0.418321:0.425244:0.441974:0.425244:0.441974:0.408838:0.418321:0.408838:0.000000:0.000000:0.000000
( t) es otro factor y :@0.441974:0.425244:0.588257:0.425244:0.588257:0.408810:0.441974:0.408810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.446852:0.424690:0.459130:0.424690:0.459130:0.410974:0.446852:0.410974:0.000000
cos:@0.588643:0.425244:0.611707:0.425244:0.611707:0.408838:0.588643:0.408838:0.000000:0.000000:0.000000
( t) es otro factor, ¿cuál es el factor común :@0.611707:0.425244:0.930998:0.425244:0.930998:0.408810:0.611707:0.408810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.616585:0.424690:0.628863:0.424690:0.628863:0.410974:0.616585:0.410974:0.000000
que tienen estas dos expresiones?:@0.293685:0.441886:0.540943:0.441886:0.540943:0.425452:0.293685:0.425452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al comparar las dos expresiones, observamos que el factor común es  .:@0.293685:0.469248:0.809788:0.469248:0.809788:0.452814:0.293685:0.452814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.796774:0.469248:0.806659:0.469248:0.806659:0.452842:0.796774:0.452842:0.000000
Factorización de monomios:@0.305399:0.501514:0.515464:0.501514:0.515464:0.484845:0.305399:0.484845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factorizar un monomio significa expresarlo como el producto de otros monomios.:@0.305399:0.528877:0.902225:0.528877:0.902225:0.512444:0.305399:0.512444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.293655:0.565670:0.369438:0.565670:0.369438:0.549000:0.293655:0.549000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.369329:0.565675:0.373360:0.565675:0.373360:0.549241:0.369329:0.549241:0.000000
Factoriza el monomio  6 y:@0.414151:0.565675:0.622663:0.565675:0.622663:0.549241:0.414151:0.549241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.575539:0.565120:0.590872:0.565120:0.590872:0.551404:0.575539:0.551404:0.000000
x:@0.599689:0.565675:0.607144:0.565675:0.607144:0.549269:0.599689:0.549269:0.000000
3  2:@0.607070:0.559611:0.627820:0.559611:0.627820:0.550030:0.607070:0.550030:0.000000:0.000000:0.000000:0.000000
Solución:@0.293660:0.593038:0.359794:0.593038:0.359794:0.576368:0.293660:0.576368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.359689:0.593038:0.367677:0.593038:0.367677:0.576604:0.359689:0.576604:0.000000:0.000000
Una de las tantas formas puede ser:  2 3             :@0.414137:0.593038:0.787177:0.593038:0.787177:0.576604:0.414137:0.576604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.674851:0.592483:0.690184:0.592483:0.690184:0.578768:0.674851:0.578768:0.000000
?:@0.699001:0.592899:0.705131:0.592899:0.705131:0.578851:0.699001:0.578851:0.000000
x:@0.717887:0.593038:0.725342:0.593038:0.725342:0.576632:0.717887:0.576632:0.000000
2:@0.725273:0.586974:0.730510:0.586974:0.730510:0.577393:0.725273:0.577393:0.000000
? ? ?:@0.734422:0.592899:0.783238:0.592899:0.783238:0.578851:0.734422:0.578851:0.000000:0.000000:0.000000:0.000000:0.000000
x y y:@0.744417:0.593038:0.794577:0.593038:0.794577:0.576632:0.744417:0.576632:0.000000:0.000000:0.000000:0.000000:0.000000
Factorización de polinomios que tienen un factor común:@0.305401:0.626196:0.734757:0.626196:0.734757:0.609526:0.305401:0.609526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El factor común de un polinomio se forma con el mcd de los coeficientes y las letras :@0.305401:0.653559:0.922830:0.653559:0.922830:0.637125:0.305401:0.637125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la parte literal que sean comunes con el menor exponente. Una vez conformado :@0.305401:0.670201:0.922149:0.670201:0.922149:0.653767:0.305401:0.653767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el factor común, dividimos cada término del polinomio entre el factor común. Los :@0.305401:0.686843:0.922535:0.686843:0.922535:0.670409:0.305401:0.670409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cocientes constituyen el polinomio factor.:@0.305401:0.703484:0.608863:0.703484:0.608863:0.687051:0.305401:0.687051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.293657:0.739001:0.369439:0.739001:0.369439:0.722331:0.293657:0.722331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factoriza el polinomio 4:@0.293657:0.766363:0.466841:0.766363:0.466841:0.749929:0.293657:0.749929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.466630:0.766363:0.503053:0.766365:0.503053:0.749959:0.466630:0.749957:0.000000:0.000000:0.000000:0.000000:0.000000
2 3 5:@0.475823:0.760301:0.508224:0.760301:0.508224:0.750720:0.475823:0.750720:0.000000:0.000000:0.000000:0.000000:0.000000
   12:@0.508177:0.766365:0.549225:0.766365:0.549225:0.749931:0.508177:0.749931:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.512134:0.765811:0.527467:0.765811:0.527467:0.752095:0.512134:0.752095:0.000000
a b c:@0.549133:0.766365:0.585546:0.766365:0.585546:0.749959:0.549133:0.749959:0.000000:0.000000:0.000000:0.000000:0.000000
3 2 3:@0.558316:0.760301:0.590716:0.760301:0.590716:0.750720:0.558316:0.750720:0.000000:0.000000:0.000000:0.000000:0.000000
   20:@0.590670:0.766365:0.631718:0.766365:0.631718:0.749931:0.590670:0.749931:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.594627:0.765811:0.609960:0.765811:0.609960:0.752095:0.594627:0.752095:0.000000
a bc:@0.631626:0.766365:0.662841:0.766365:0.662841:0.749959:0.631626:0.749959:0.000000:0.000000:0.000000:0.000000
5:@0.640809:0.760301:0.646046:0.760301:0.646046:0.750720:0.640809:0.750720:0.000000
2:@0.662782:0.760301:0.668019:0.760301:0.668019:0.750720:0.662782:0.750720:0.000000
Solución:@0.293660:0.793728:0.359794:0.793728:0.359794:0.777059:0.293660:0.777059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La mcd de 4, 12 y 20 es 4. :@0.293660:0.821090:0.481136:0.821090:0.481136:0.804657:0.293660:0.804657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la parte literal común es :@0.293660:0.848452:0.493856:0.848452:0.493856:0.832019:0.293660:0.832019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a bc:@0.493600:0.848452:0.524823:0.848455:0.524823:0.832049:0.493600:0.832046:0.000000:0.000000:0.000000:0.000000
2:@0.502792:0.842391:0.508028:0.842391:0.508028:0.832810:0.502792:0.832810:0.000000
2:@0.524765:0.842391:0.530002:0.842391:0.530002:0.832810:0.524765:0.832810:0.000000
. Por lo tanto, el factor común es 4:@0.529956:0.848455:0.775345:0.848455:0.775345:0.832021:0.529956:0.832021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a bc:@0.775048:0.848455:0.806279:0.848455:0.806279:0.832049:0.775048:0.832049:0.000000:0.000000:0.000000:0.000000
2:@0.784247:0.842391:0.789484:0.842391:0.789484:0.832810:0.784247:0.832810:0.000000
2:@0.806220:0.842391:0.811457:0.842391:0.811457:0.832810:0.806220:0.832810:0.000000
.:@0.811409:0.848455:0.814612:0.848455:0.814612:0.832021:0.811409:0.832021:0.000000
Dividimos cada término del polinomio entre el factor común y obtenemos::@0.293650:0.875817:0.837651:0.875817:0.837651:0.859383:0.293650:0.859383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.398332:0.903179:0.407315:0.903179:0.407315:0.886745:0.398332:0.886745:0.000000
a b c:@0.407241:0.903179:0.443669:0.903181:0.443669:0.886775:0.407241:0.886773:0.000000:0.000000:0.000000:0.000000:0.000000
2 3 5:@0.416440:0.897117:0.448839:0.897117:0.448839:0.887536:0.416440:0.887536:0.000000:0.000000:0.000000:0.000000:0.000000
   12:@0.448793:0.903181:0.489841:0.903181:0.489841:0.886747:0.448793:0.886747:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.452751:0.902626:0.468084:0.902626:0.468084:0.888911:0.452751:0.888911:0.000000
a b c:@0.489749:0.903181:0.526162:0.903181:0.526162:0.886775:0.489749:0.886775:0.000000:0.000000:0.000000:0.000000:0.000000
3 2 3:@0.498933:0.897117:0.531332:0.897117:0.531332:0.887536:0.498933:0.887536:0.000000:0.000000:0.000000:0.000000:0.000000
   20:@0.531286:0.903181:0.572334:0.903181:0.572334:0.886747:0.531286:0.886747:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.535244:0.902626:0.550577:0.902626:0.550577:0.888911:0.535244:0.888911:0.000000
a bc:@0.572242:0.903181:0.603458:0.903181:0.603458:0.886775:0.572242:0.886775:0.000000:0.000000:0.000000:0.000000
5:@0.581424:0.897117:0.586661:0.897117:0.586661:0.887536:0.581424:0.887536:0.000000
2:@0.603399:0.897117:0.608636:0.897117:0.608636:0.887536:0.603399:0.887536:0.000000
   4:@0.608588:0.903181:0.640727:0.903181:0.640727:0.886747:0.608588:0.886747:0.000000:0.000000:0.000000:0.000000
5:@0.612546:0.902626:0.627879:0.902626:0.627879:0.888911:0.612546:0.888911:0.000000
a bc b c:@0.640635:0.903181:0.707776:0.903181:0.707776:0.886775:0.640635:0.886775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.649825:0.897117:0.655062:0.897117:0.655062:0.887536:0.649825:0.887536:0.000000
2:@0.671799:0.897117:0.677036:0.897117:0.677036:0.887536:0.671799:0.887536:0.000000
 (:@0.676990:0.903181:0.685825:0.903181:0.685825:0.886747:0.676990:0.886747:0.000000:0.000000
2 3:@0.694930:0.897117:0.712948:0.897117:0.712948:0.887536:0.694930:0.887536:0.000000:0.000000:0.000000
   3:@0.712900:0.903181:0.745039:0.903181:0.745039:0.886747:0.712900:0.886747:0.000000:0.000000:0.000000:0.000000
2:@0.716858:0.902626:0.732191:0.902626:0.732191:0.888911:0.716858:0.888911:0.000000
abc:@0.744947:0.903181:0.770975:0.903181:0.770975:0.886775:0.744947:0.886775:0.000000:0.000000:0.000000
   5 ):@0.770920:0.903181:0.822226:0.903181:0.822226:0.886747:0.770920:0.886747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.774878:0.902626:0.790211:0.902626:0.790211:0.888911:0.774878:0.888911:0.000000
a:@0.802967:0.903181:0.812226:0.903181:0.812226:0.886775:0.802967:0.886775:0.000000
3:@0.812159:0.897117:0.817396:0.897117:0.817396:0.887536:0.812159:0.887536:0.000000
Tema 1. Factorización de polinomios :@0.073089:0.098522:0.619547:0.098522:0.619547:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Efectúa los productos en tu cuaderno.:@0.293660:0.166059:0.569270:0.166059:0.569270:0.149625:0.293660:0.149625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a x:@0.293660:0.193421:0.315105:0.193421:0.315105:0.177015:0.293660:0.177015:0.000000:0.000000:0.000000
(         )  :@0.302845:0.193421:0.388690:0.193422:0.388690:0.176988:0.302845:0.176987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 1:@0.318989:0.192866:0.364878:0.192866:0.364878:0.179151:0.318989:0.179151:0.000000:0.000000:0.000000
y:@0.338187:0.193421:0.345661:0.193421:0.345661:0.177015:0.338187:0.177015:0.000000
z:@0.368743:0.193421:0.375977:0.193421:0.375977:0.177015:0.368743:0.177015:0.000000
2:@0.414147:0.193422:0.423130:0.193422:0.423130:0.176988:0.414147:0.176988:0.000000
xy:@0.423046:0.193422:0.438104:0.193422:0.438104:0.177016:0.423046:0.177016:0.000000:0.000000
2:@0.438043:0.187358:0.443280:0.187358:0.443280:0.177777:0.438043:0.177777:0.000000
 (4    5   ):@0.443234:0.193422:0.541930:0.193422:0.541930:0.176988:0.443234:0.176988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.460887:0.193422:0.475944:0.193422:0.475944:0.177016:0.460887:0.177016:0.000000:0.000000
2:@0.479846:0.192868:0.495179:0.192868:0.495179:0.179152:0.479846:0.179152:0.000000
x y:@0.507936:0.193422:0.531935:0.193422:0.531935:0.177016:0.507936:0.177016:0.000000:0.000000:0.000000
2:@0.515315:0.187358:0.520552:0.187358:0.520552:0.177777:0.515315:0.177777:0.000000
3:@0.531863:0.187358:0.537100:0.187358:0.537100:0.177777:0.531863:0.177777:0.000000
(     )(2:@0.594870:0.193422:0.657761:0.193422:0.657761:0.176988:0.594870:0.176988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.599667:0.193422:0.608926:0.193422:0.608926:0.177016:0.599667:0.177016:0.000000
1:@0.612810:0.192868:0.628143:0.192868:0.628143:0.179152:0.612810:0.179152:0.000000
z:@0.632009:0.193422:0.639243:0.193422:0.639243:0.177016:0.632009:0.177016:0.000000
m :@0.657669:0.193422:0.675524:0.193422:0.675524:0.177016:0.657669:0.177016:0.000000:0.000000
1:@0.675468:0.192868:0.690802:0.192868:0.690802:0.179152:0.675468:0.179152:0.000000
 3 )  :@0.690710:0.193422:0.725541:0.193422:0.725541:0.176988:0.690710:0.176988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.703558:0.193422:0.712817:0.193422:0.712817:0.177016:0.703558:0.177016:0.000000
(7:@0.775590:0.193422:0.789378:0.193422:0.789378:0.176988:0.775590:0.176988:0.000000:0.000000
y :@0.789294:0.193422:0.800007:0.193422:0.800007:0.177016:0.789294:0.177016:0.000000:0.000000
1:@0.799952:0.192868:0.815285:0.192868:0.815285:0.179152:0.799952:0.179152:0.000000
  )(  − 2 ):@0.815193:0.193422:0.899118:0.193422:0.899118:0.176988:0.815193:0.176988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
w x:@0.819150:0.193422:0.854029:0.193422:0.854029:0.177016:0.819150:0.177016:0.000000:0.000000:0.000000
2:@0.831793:0.187358:0.837030:0.187358:0.837030:0.177777:0.831793:0.177777:0.000000
2:@0.853967:0.187358:0.859204:0.187358:0.859204:0.177777:0.853967:0.177777:0.000000
y:@0.886841:0.193422:0.894314:0.193422:0.894314:0.177016:0.886841:0.177016:0.000000
Reto matemático:@0.302768:0.139665:0.425244:0.139665:0.425244:0.124259:0.302768:0.124259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.076308:0.267293:0.081034:0.267293:0.081034:0.258951:0.076308:0.258951:0.000000
A:@0.108645:0.236830:0.113592:0.236830:0.113592:0.229105:0.108645:0.229105:0.000000
 :@0.113592:0.236830:0.115545:0.236830:0.115545:0.228487:0.113592:0.228487:0.000000
sen :@0.115545:0.236830:0.130875:0.236830:0.130875:0.228487:0.115545:0.228487:0.000000:0.000000:0.000000:0.000000
   :@0.130875:0.237170:0.137784:0.237170:0.137784:0.229354:0.130875:0.229354:0.000000:0.000000:0.000000
t:@0.137784:0.236830:0.140474:0.236830:0.140474:0.229105:0.137784:0.229105:0.000000
A:@0.114467:0.252301:0.119414:0.252301:0.119414:0.244576:0.114467:0.244576:0.000000
 :@0.119414:0.252301:0.121367:0.252301:0.121367:0.243958:0.119414:0.243958:0.000000
cos :@0.121367:0.252301:0.136098:0.252301:0.136098:0.243958:0.121367:0.243958:0.000000:0.000000:0.000000:0.000000
   :@0.136098:0.252641:0.143008:0.252641:0.143008:0.244826:0.136098:0.244826:0.000000:0.000000:0.000000
t:@0.143008:0.252301:0.145698:0.252301:0.145698:0.244576:0.143008:0.244576:0.000000
ω:@0.131016:0.236622:0.136809:0.236622:0.139186:0.229457:0.133393:0.229457:0.000000
ω:@0.136174:0.252534:0.141967:0.252534:0.144345:0.245369:0.138551:0.245369:0.000000
Modelación de :@0.114553:0.329278:0.227842:0.329278:0.227842:0.312844:0.114553:0.312844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresiones algebraicas:@0.083148:0.345919:0.255286:0.345919:0.255286:0.329486:0.083148:0.329486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La factorización tiene :@0.078835:0.443749:0.222693:0.443749:0.222693:0.428810:0.078835:0.428810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicaciones muy :@0.078835:0.458878:0.197242:0.458878:0.197242:0.443939:0.078835:0.443939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntuales en los campos :@0.078835:0.474007:0.247596:0.474007:0.247596:0.459068:0.078835:0.459068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la medicina, pues :@0.078835:0.489136:0.217927:0.489136:0.217927:0.474196:0.078835:0.474196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayuda a estudiar las redes :@0.078835:0.504265:0.250777:0.504265:0.250777:0.489325:0.078835:0.489325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neuronales y hace más :@0.078835:0.519394:0.233300:0.519394:0.233300:0.504454:0.078835:0.504454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fácil la comprensión de los :@0.078835:0.534523:0.257715:0.534523:0.257715:0.519583:0.078835:0.519583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mecanismos cerebrales del :@0.078835:0.549652:0.261547:0.549652:0.261547:0.534712:0.078835:0.534712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aprendizaje.:@0.078835:0.564781:0.158140:0.564781:0.158140:0.549841:0.078835:0.549841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga y responde: :@0.078835:0.579910:0.208543:0.579910:0.208543:0.564970:0.078835:0.564970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿para qué se utiliza la :@0.078835:0.595039:0.221943:0.595039:0.221943:0.580099:0.078835:0.580099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factorización dentro de la :@0.078835:0.610168:0.250498:0.610168:0.250498:0.595228:0.078835:0.595228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medicina?:@0.078835:0.625297:0.146624:0.625297:0.146624:0.610357:0.078835:0.610357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identifica factores de :@0.078835:0.752884:0.219664:0.752884:0.219664:0.737944:0.078835:0.737944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
riesgo, realiza chequeos :@0.078835:0.768013:0.239412:0.768013:0.239412:0.753073:0.078835:0.753073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
regulares, toma decisiones :@0.078835:0.783142:0.257394:0.783142:0.257394:0.768202:0.078835:0.768202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
saludables y prevé :@0.078835:0.798271:0.203884:0.798271:0.203884:0.783331:0.078835:0.783331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enfermedades con :@0.078835:0.813400:0.206853:0.813400:0.206853:0.798460:0.078835:0.798460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
educación, vacunación y :@0.078835:0.828529:0.245538:0.828529:0.245538:0.813589:0.078835:0.813589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
buena higiene.:@0.078835:0.843658:0.177301:0.843658:0.177301:0.828718:0.078835:0.828718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra :@0.078581:0.391952:0.138160:0.391952:0.138160:0.376545:0.078581:0.376545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de salud y :@0.078581:0.407081:0.154118:0.407081:0.154118:0.391674:0.078581:0.391674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bienestar:@0.078581:0.422210:0.146269:0.422210:0.146269:0.406803:0.078581:0.406803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000