126:@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
El teorema fundamental del álgebra establece que, si un polinomio entero y racional en :@0.293660:0.231357:0.931335:0.231357:0.931335:0.214923:0.293660:0.214923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.293660:0.247999:0.301115:0.247999:0.301115:0.231593:0.293660:0.231593:0.000000
 se anula para      , entonces el polinomio es divisible entre      . Con base en lo :@0.301189:0.247999:0.931002:0.247999:0.931002:0.231565:0.301189:0.231565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.410178:0.247999:0.417633:0.247999:0.417633:0.231593:0.410178:0.231593:0.000000
5:@0.422640:0.247444:0.437973:0.247444:0.437973:0.233728:0.422640:0.233728:0.000000
a:@0.442998:0.247999:0.452257:0.247999:0.452257:0.231593:0.442998:0.231593:0.000000
x:@0.764131:0.247999:0.771586:0.247999:0.771586:0.231593:0.764131:0.231593:0.000000
2:@0.776593:0.247444:0.791926:0.247444:0.791926:0.233728:0.776593:0.233728:0.000000
a:@0.796951:0.247999:0.806210:0.247999:0.806210:0.231593:0.796951:0.231593:0.000000
anterior, se puede utilizar el teorema fundamental del álgebra para hallar los factores de :@0.293715:0.264640:0.931378:0.264640:0.931378:0.248207:0.293715:0.248207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un polinomio. Los valores de   son los factores de  . :@0.293715:0.281282:0.673126:0.281282:0.673126:0.264848:0.293715:0.264848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.505049:0.281282:0.514308:0.281282:0.514308:0.264876:0.505049:0.264876:0.000000
a:@0.656706:0.281282:0.665965:0.281282:0.665965:0.264876:0.656706:0.264876:0.000000
Ejemplo 1:@0.293697:0.315786:0.369480:0.315786:0.369480:0.299117:0.293697:0.299117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para el polinomio:     4        6:@0.293697:0.350290:0.547043:0.350303:0.547043:0.333869:0.293697:0.333857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.427205:0.350290:0.434660:0.350290:0.434660:0.333884:0.427205:0.333884:0.000000
3:@0.434553:0.344239:0.439789:0.344239:0.439789:0.334658:0.434553:0.334658:0.000000
2:@0.443699:0.349748:0.459033:0.349748:0.459033:0.336033:0.443699:0.336033:0.000000
x:@0.471789:0.350303:0.479244:0.350303:0.479244:0.333897:0.471789:0.333897:0.000000
2:@0.479175:0.344239:0.484412:0.344239:0.484412:0.334658:0.479175:0.334658:0.000000
1 1:@0.488324:0.349748:0.534194:0.349748:0.534194:0.336033:0.488324:0.336033:0.000000:0.000000:0.000000
x:@0.507522:0.350303:0.514977:0.350303:0.514977:0.333897:0.507522:0.333897:0.000000
Los factores de 6 son: 1, 2, 3, 6. :@0.293667:0.384807:0.516457:0.384807:0.516457:0.368373:0.293667:0.368373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se reemplazamos   por 1, obtenemos: :@0.293667:0.419311:0.588507:0.419311:0.588507:0.402877:0.293667:0.402877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.440501:0.419311:0.447956:0.419311:0.447956:0.402905:0.440501:0.402905:0.000000
(1 )   4(1  )   (1)   6   1   4   1   6    4  :@0.293667:0.453815:0.634171:0.453835:0.634171:0.437402:0.293667:0.437381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.307358:0.447772:0.312595:0.447772:0.312595:0.438191:0.307358:0.438191:0.000000
2:@0.321293:0.453281:0.336626:0.453281:0.336626:0.439565:0.321293:0.439565:0.000000
2:@0.363091:0.447772:0.368327:0.447772:0.368327:0.438191:0.363091:0.438191:0.000000
1:@0.380981:0.453281:0.396314:0.453281:0.396314:0.439565:0.380981:0.439565:0.000000
1 5 2 1 1 5 2:@0.422618:0.453281:0.617385:0.453281:0.617385:0.439565:0.422618:0.439565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No es divisible entre (    1):@0.655118:0.453835:0.854283:0.453835:0.854283:0.437402:0.655118:0.437402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.809958:0.453835:0.817413:0.453835:0.817413:0.437429:0.809958:0.437429:0.000000
2:@0.821297:0.453281:0.836631:0.453281:0.836631:0.439565:0.821297:0.439565:0.000000
Si se reemplaza x por 2, obtenemos::@0.293653:0.488339:0.553512:0.488339:0.553512:0.471906:0.293653:0.471906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2 ) :@0.293653:0.522844:0.321385:0.522856:0.321385:0.506422:0.293653:0.506410:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.307358:0.516792:0.312595:0.516792:0.312595:0.507211:0.307358:0.507211:0.000000
2 :@0.321293:0.522301:0.341136:0.522301:0.341136:0.508586:0.321293:0.508586:0.000000:0.000000
4(2 )   (2)   6   8   16   2   6   0  :@0.341044:0.522856:0.624449:0.522856:0.624449:0.506422:0.341044:0.506422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.363650:0.516792:0.368886:0.516792:0.368886:0.507211:0.363650:0.507211:0.000000
1:@0.377582:0.522301:0.392915:0.522301:0.392915:0.508586:0.377582:0.508586:0.000000
1 5 2:@0.419219:0.522301:0.498647:0.522301:0.498647:0.508586:0.419219:0.508586:0.000000:0.000000:0.000000:0.000000:0.000000
1 1 5:@0.524251:0.522301:0.603678:0.522301:0.603678:0.508586:0.524251:0.508586:0.000000:0.000000:0.000000:0.000000:0.000000
Es divisible entre (    2):@0.655113:0.522856:0.828607:0.522856:0.828607:0.506422:0.655113:0.506422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.784282:0.522856:0.791737:0.522856:0.791737:0.506450:0.784282:0.506450:0.000000
2:@0.795621:0.522301:0.810954:0.522301:0.810954:0.508586:0.795621:0.508586:0.000000
Aplicando división sintética, obtenemos::@0.293655:0.557360:0.586757:0.557360:0.586757:0.540926:0.293655:0.540926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.474401:0.591878:0.483384:0.591878:0.483384:0.575444:0.474401:0.575444:0.000000
2:@0.534628:0.591323:0.549961:0.591323:0.549961:0.577608:0.534628:0.577608:0.000000
 4 :@0.549869:0.591878:0.566767:0.591878:0.566767:0.575444:0.549869:0.575444:0.000000:0.000000:0.000000
1:@0.594870:0.591323:0.610203:0.591323:0.610203:0.577608:0.594870:0.577608:0.000000
1 :@0.610111:0.591878:0.623051:0.591878:0.623051:0.575444:0.610111:0.575444:0.000000:0.000000
1:@0.655112:0.591323:0.670445:0.591323:0.670445:0.577608:0.655112:0.577608:0.000000
6:@0.670353:0.591878:0.679336:0.591878:0.679336:0.575444:0.670353:0.575444:0.000000
2:@0.715359:0.591878:0.724341:0.591878:0.724341:0.575444:0.715359:0.575444:0.000000
+2:@0.534648:0.626389:0.554528:0.626389:0.554528:0.609955:0.534648:0.609955:0.000000:0.000000
2:@0.594870:0.625834:0.610203:0.625834:0.610203:0.612118:0.594870:0.612118:0.000000
4 :@0.610111:0.626389:0.623051:0.626389:0.623051:0.609955:0.610111:0.609955:0.000000:0.000000
2:@0.655112:0.625834:0.670445:0.625834:0.670445:0.612118:0.655112:0.612118:0.000000
 6:@0.670353:0.626389:0.683293:0.626389:0.683293:0.609955:0.670353:0.609955:0.000000:0.000000
1:@0.474401:0.660899:0.483384:0.660899:0.483384:0.644465:0.474401:0.644465:0.000000
2:@0.534628:0.660344:0.549961:0.660344:0.549961:0.646629:0.534628:0.646629:0.000000
 2 :@0.549869:0.660899:0.566767:0.660899:0.566767:0.644465:0.549869:0.644465:0.000000:0.000000:0.000000
2:@0.594870:0.660344:0.610203:0.660344:0.610203:0.646629:0.594870:0.646629:0.000000
3:@0.610111:0.660899:0.619094:0.660899:0.619094:0.644465:0.610111:0.644465:0.000000
0:@0.655117:0.660899:0.664099:0.660899:0.664099:0.644465:0.655117:0.644465:0.000000
Lo que significa que     4        6   (    2    3)(    2):@0.293660:0.695409:0.728389:0.695409:0.728389:0.678975:0.293660:0.678975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.442704:0.695409:0.450159:0.695409:0.450159:0.679003:0.442704:0.679003:0.000000
3:@0.450093:0.689345:0.455330:0.689345:0.455330:0.679764:0.450093:0.679764:0.000000
2:@0.459240:0.694855:0.474573:0.694855:0.474573:0.681139:0.459240:0.681139:0.000000
x:@0.487330:0.695409:0.494784:0.695409:0.494784:0.679003:0.487330:0.679003:0.000000
2:@0.494716:0.689345:0.499953:0.689345:0.499953:0.679764:0.494716:0.679764:0.000000
1 1 5:@0.503863:0.694855:0.581781:0.694855:0.581781:0.681139:0.503863:0.681139:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.523061:0.695409:0.530516:0.695409:0.530516:0.679003:0.523061:0.679003:0.000000
x:@0.590432:0.695409:0.597887:0.695409:0.597887:0.679003:0.590432:0.679003:0.000000
2:@0.597810:0.689345:0.603047:0.689345:0.603047:0.679764:0.597810:0.679764:0.000000
2:@0.606957:0.694855:0.622290:0.694855:0.622290:0.681139:0.606957:0.681139:0.000000
x:@0.635046:0.695409:0.642501:0.695409:0.642501:0.679003:0.635046:0.679003:0.000000
2:@0.646385:0.694855:0.661718:0.694855:0.661718:0.681139:0.646385:0.681139:0.000000
x:@0.684065:0.695409:0.691520:0.695409:0.691520:0.679003:0.684065:0.679003:0.000000
2:@0.695403:0.694855:0.710737:0.694855:0.710737:0.681139:0.695403:0.681139:0.000000
Factorizando el trinomio, obtenemos:     4        6   (    3)(    1)(    2):@0.293647:0.729913:0.858845:0.729921:0.858845:0.713487:0.293647:0.713480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.568743:0.729913:0.576198:0.729913:0.576198:0.713507:0.568743:0.713507:0.000000
3:@0.576145:0.723857:0.581381:0.723857:0.581381:0.714276:0.576145:0.714276:0.000000
2:@0.585291:0.729366:0.600625:0.729366:0.600625:0.715651:0.585291:0.715651:0.000000
x:@0.613381:0.729921:0.620836:0.729921:0.620836:0.713515:0.613381:0.713515:0.000000
2:@0.620767:0.723857:0.626004:0.723857:0.626004:0.714276:0.620767:0.714276:0.000000
1 1 5:@0.629914:0.729366:0.707832:0.729366:0.707832:0.715651:0.629914:0.715651:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.649113:0.729921:0.656567:0.729921:0.656567:0.713515:0.649113:0.713515:0.000000
x:@0.716483:0.729921:0.723938:0.729921:0.723938:0.713515:0.716483:0.713515:0.000000
2:@0.727822:0.729366:0.743155:0.729366:0.743155:0.715651:0.727822:0.715651:0.000000
x:@0.765502:0.729921:0.772957:0.729921:0.772957:0.713515:0.765502:0.713515:0.000000
1:@0.776840:0.729366:0.792174:0.729366:0.792174:0.715651:0.776840:0.715651:0.000000
x:@0.814520:0.729921:0.821975:0.729921:0.821975:0.713515:0.814520:0.713515:0.000000
2:@0.825859:0.729366:0.841192:0.729366:0.841192:0.715651:0.825859:0.715651:0.000000
Un polinomio de grado tres o más se puede factorizar al utilizar el teorema :@0.305401:0.768954:0.922108:0.768954:0.922108:0.752520:0.305401:0.752520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamental del álgebra. Se evalúa el polinomio para      . Si el valor del polinomio :@0.305401:0.785595:0.922541:0.785595:0.922541:0.769162:0.305401:0.769162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.696628:0.785595:0.704083:0.785595:0.704083:0.769189:0.696628:0.769189:0.000000
5:@0.708078:0.785041:0.723411:0.785041:0.723411:0.771325:0.708078:0.771325:0.000000
a:@0.727387:0.785595:0.736646:0.785595:0.736646:0.769189:0.727387:0.769189:0.000000
es cero, el polinomio es divisible entre      . Se efectúa la división sintética con     :@0.305382:0.802237:0.909361:0.802237:0.909361:0.785803:0.305382:0.785803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.582816:0.802237:0.590271:0.802237:0.590271:0.785831:0.582816:0.785831:0.000000
2:@0.593953:0.801683:0.609286:0.801683:0.609286:0.787967:0.593953:0.787967:0.000000
a:@0.612949:0.802237:0.622208:0.802237:0.622208:0.785831:0.612949:0.785831:0.000000
x:@0.878952:0.802237:0.886407:0.802237:0.886407:0.785831:0.878952:0.785831:0.000000
2:@0.890089:0.801683:0.905422:0.801683:0.905422:0.787967:0.890089:0.787967:0.000000
a :@0.909085:0.802237:0.921657:0.802237:0.921657:0.785831:0.909085:0.785831:0.000000:0.000000
y se expresa el polinomio como el producto de (     ) por el resultado de la división.:@0.305364:0.818879:0.918576:0.818879:0.918576:0.802445:0.305364:0.802445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.654954:0.818879:0.662409:0.818879:0.662409:0.802473:0.654954:0.802473:0.000000
2:@0.666256:0.818324:0.681590:0.818324:0.681590:0.804609:0.666256:0.804609:0.000000
a:@0.685418:0.818879:0.694677:0.818879:0.694677:0.802473:0.685418:0.802473:0.000000
Tema 4. Factorización por el método de evaluación:@0.073089:0.098522:0.823027:0.098522:0.823027:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resuelve la siguiente ecuación cuadrática:     5    6   0:@0.293660:0.179722:0.717782:0.179722:0.717782:0.163288:0.293660:0.163288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.601595:0.179722:0.609050:0.179722:0.609050:0.163316:0.601595:0.163316:0.000000
2:@0.608976:0.173658:0.614213:0.173658:0.614213:0.164077:0.608976:0.164077:0.000000
2:@0.618125:0.179167:0.633458:0.179167:0.633458:0.165451:0.618125:0.165451:0.000000
x:@0.646214:0.179722:0.653669:0.179722:0.653669:0.163316:0.646214:0.163316:0.000000
1 5:@0.657553:0.179167:0.704933:0.179167:0.704933:0.165451:0.657553:0.165451:0.000000:0.000000:0.000000
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
-1:@0.093085:0.177962:0.105246:0.177962:0.105246:0.164150:0.093085:0.164150:0.000000:0.000000
0:@0.143553:0.177962:0.151103:0.177962:0.151103:0.164150:0.143553:0.164150:0.000000
2:@0.222814:0.177962:0.230364:0.177962:0.230364:0.164150:0.222814:0.164150:0.000000
Raíces (ceros):@0.128935:0.199786:0.211724:0.199786:0.211724:0.185973:0.128935:0.185973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.181023:0.177962:0.188573:0.177962:0.188573:0.164150:0.181023:0.164150:0.000000
DBA 9 (Ev. 4) Describe diferentes usos del signo igual (equivalencia, igualdad condicionada) en las expresiones algebraicas.:@0.229183:0.965693:0.872283:0.965693:0.872283:0.953741:0.229183:0.953741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 10 (Ev. 1)Toma decisiones informadas en exploraciones numéricas, algebraicas o gráficas de los modelos matemáticos usados.:@0.229183:0.976409:0.917080:0.976409:0.917080:0.964457:0.229183:0.964457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078198:0.341011:0.230583:0.341011:0.230583:0.325605:0.078198:0.325605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticas e :@0.078198:0.356140:0.178035:0.356140:0.178035:0.341200:0.078198:0.341200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingeniería:@0.078198:0.371269:0.144005:0.371269:0.144005:0.356329:0.078198:0.356329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En ingeniería civil y :@0.079051:0.405486:0.208481:0.405486:0.208481:0.390546:0.079051:0.390546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mecánica, se utilizan :@0.079051:0.420615:0.218294:0.420615:0.218294:0.405675:0.079051:0.405675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones polinómicas :@0.079051:0.435744:0.241788:0.435744:0.241788:0.420804:0.079051:0.420804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para modelar estructuras :@0.079051:0.450873:0.247605:0.450873:0.247605:0.435933:0.079051:0.435933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y sistemas. Factorizar :@0.079051:0.466002:0.219360:0.466002:0.219360:0.451062:0.079051:0.451062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estas ecuaciones puede :@0.079051:0.481131:0.240709:0.481131:0.240709:0.466191:0.079051:0.466191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayudar a determinar :@0.079051:0.496259:0.215964:0.496259:0.215964:0.481320:0.079051:0.481320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntos críticos, como el :@0.079051:0.511388:0.240111:0.511388:0.240111:0.496449:0.079051:0.496449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equilibrio o la estabilidad :@0.079051:0.526517:0.248023:0.526517:0.248023:0.511578:0.079051:0.511578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de estructuras.:@0.079051:0.541646:0.175542:0.541646:0.175542:0.526706:0.079051:0.526706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@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