113:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico:@0.721207:0.043660:0.926911:0.043660:0.926911:0.024915:0.721207:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como la energía viaja :@0.746323:0.391099:0.891601:0.391099:0.891601:0.376160:0.746323:0.376160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en forma de ondas, :@0.746323:0.406228:0.877053:0.406228:0.877053:0.391289:0.746323:0.391289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la matemática ha :@0.746323:0.421357:0.863539:0.421357:0.863539:0.406418:0.746323:0.406418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conseguido modelar :@0.746323:0.436486:0.887607:0.436486:0.887607:0.421546:0.746323:0.421546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
este movimiento con :@0.746323:0.451615:0.890820:0.451615:0.890820:0.436675:0.746323:0.436675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresiones algebraicas :@0.746323:0.466744:0.906476:0.466744:0.906476:0.451804:0.746323:0.451804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que muestran el tamaño :@0.746323:0.481873:0.912875:0.481873:0.912875:0.466933:0.746323:0.466933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la onda y la frecuencia :@0.746323:0.497002:0.917320:0.497002:0.917320:0.482062:0.746323:0.482062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con la que se producen.:@0.746323:0.512131:0.904754:0.512131:0.904754:0.497191:0.746323:0.497191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740299:0.349129:0.838990:0.349129:0.838990:0.333723:0.740299:0.333723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740299:0.364258:0.828913:0.364258:0.828913:0.348852:0.740299:0.348852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.073089:0.136836:0.148872:0.136836:0.148872:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Extrae el factor común de (     ):@0.073089:0.167774:0.314353:0.167774:0.314353:0.151340:0.073089:0.151340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.267948:0.167774:0.277207:0.167774:0.277207:0.151368:0.267948:0.151368:0.000000
2:@0.281091:0.167219:0.296424:0.167219:0.296424:0.153503:0.281091:0.153503:0.000000
b xy z:@0.300290:0.167774:0.341690:0.167774:0.341690:0.151368:0.300290:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.329266:0.161710:0.334503:0.161710:0.334503:0.152129:0.329266:0.152129:0.000000
   (     ):@0.341616:0.167774:0.415963:0.167774:0.415963:0.151340:0.341616:0.151340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.345574:0.167219:0.360907:0.167219:0.360907:0.153503:0.345574:0.153503:0.000000
a:@0.369558:0.167774:0.378817:0.167774:0.378817:0.151368:0.369558:0.151368:0.000000
2:@0.382701:0.167219:0.398034:0.167219:0.398034:0.153503:0.382701:0.153503:0.000000
b yz:@0.401900:0.167774:0.430523:0.167774:0.430523:0.151368:0.401900:0.151368:0.000000:0.000000:0.000000:0.000000
2:@0.430463:0.161710:0.435700:0.161710:0.435700:0.152129:0.430463:0.152129:0.000000
   (     )  :@0.435654:0.167774:0.519139:0.167774:0.519139:0.151340:0.435654:0.151340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.439611:0.167219:0.454944:0.167219:0.454944:0.153503:0.439611:0.153503:0.000000
a:@0.463596:0.167774:0.472855:0.167774:0.472855:0.151368:0.463596:0.151368:0.000000
2:@0.476739:0.167219:0.492072:0.167219:0.492072:0.153503:0.476739:0.153503:0.000000
b xz:@0.495937:0.167774:0.533681:0.167774:0.533681:0.151368:0.495937:0.151368:0.000000:0.000000:0.000000:0.000000
2:@0.509919:0.161710:0.515155:0.161710:0.515155:0.152129:0.509919:0.152129:0.000000
3:@0.533615:0.161710:0.538852:0.161710:0.538852:0.152129:0.533615:0.152129:0.000000
.:@0.538805:0.167774:0.542007:0.167774:0.542007:0.151340:0.538805:0.151340:0.000000
Solución:@0.073083:0.198714:0.139216:0.198714:0.139216:0.182044:0.073083:0.182044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El factor común es (     ) . Dividimos el polinomio entre él y obtenemos::@0.073083:0.229654:0.607559:0.229654:0.607559:0.213220:0.073083:0.213220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.215794:0.229654:0.225053:0.229654:0.225053:0.213247:0.215794:0.213247:0.000000
2:@0.228937:0.229099:0.244270:0.229099:0.244270:0.215383:0.228937:0.215383:0.000000
b z:@0.248136:0.229654:0.269359:0.229654:0.269359:0.213247:0.248136:0.213247:0.000000:0.000000:0.000000
(     ):@0.154351:0.260593:0.205560:0.260593:0.205560:0.244160:0.154351:0.244160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.159155:0.260593:0.168414:0.260593:0.168414:0.244187:0.159155:0.244187:0.000000
2:@0.172298:0.260039:0.187631:0.260039:0.187631:0.246323:0.172298:0.246323:0.000000
b xy z:@0.191497:0.260593:0.232918:0.260583:0.232918:0.244177:0.191497:0.244187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.220495:0.254520:0.225732:0.254520:0.225732:0.244939:0.220495:0.244939:0.000000
   (     ):@0.232844:0.260583:0.307191:0.260583:0.307191:0.244150:0.232844:0.244150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.236802:0.260029:0.252135:0.260029:0.252135:0.246313:0.236802:0.246313:0.000000
a:@0.260786:0.260583:0.270045:0.260583:0.270045:0.244177:0.260786:0.244177:0.000000
2:@0.273929:0.260029:0.289262:0.260029:0.289262:0.246313:0.273929:0.246313:0.000000
b yz:@0.293128:0.260583:0.321751:0.260583:0.321751:0.244177:0.293128:0.244177:0.000000:0.000000:0.000000:0.000000
2:@0.321691:0.254520:0.326928:0.254520:0.326928:0.244939:0.321691:0.244939:0.000000
   (     )  :@0.326880:0.260583:0.410367:0.260583:0.410367:0.244150:0.326880:0.244150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.330838:0.260029:0.346171:0.260029:0.346171:0.246313:0.330838:0.246313:0.000000
a:@0.354822:0.260583:0.364081:0.260583:0.364081:0.244177:0.354822:0.244177:0.000000
2:@0.367965:0.260029:0.383298:0.260029:0.383298:0.246313:0.367965:0.246313:0.000000
b xz:@0.387164:0.260583:0.424909:0.260583:0.424909:0.244177:0.387164:0.244177:0.000000:0.000000:0.000000:0.000000
2:@0.401145:0.254520:0.406382:0.254520:0.406382:0.244939:0.401145:0.244939:0.000000
3:@0.424842:0.254520:0.430079:0.254520:0.430079:0.244939:0.424842:0.244939:0.000000
   (     ) (:@0.430033:0.260583:0.516344:0.260583:0.516344:0.244150:0.430033:0.244150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.433990:0.260029:0.449324:0.260029:0.449324:0.246313:0.433990:0.246313:0.000000
a:@0.457975:0.260583:0.467234:0.260583:0.467234:0.244177:0.457975:0.244177:0.000000
2:@0.471118:0.260029:0.486451:0.260029:0.486451:0.246313:0.471118:0.246313:0.000000
b z xy:@0.490317:0.260583:0.531328:0.260583:0.531328:0.244177:0.490317:0.244177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.531261:0.254520:0.536498:0.254520:0.536498:0.244939:0.531261:0.244939:0.000000
       :@0.536450:0.260583:0.597415:0.260583:0.597415:0.244150:0.536450:0.244150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.540408:0.260029:0.555741:0.260029:0.555741:0.246313:0.540408:0.246313:0.000000
yz:@0.559606:0.260583:0.574240:0.260583:0.574240:0.244177:0.559606:0.244177:0.000000:0.000000
2:@0.578143:0.260029:0.593476:0.260029:0.593476:0.246313:0.578143:0.246313:0.000000
xz:@0.597341:0.260583:0.611957:0.260583:0.611957:0.244177:0.597341:0.244177:0.000000:0.000000
2:@0.611866:0.254520:0.617103:0.254520:0.617103:0.244939:0.611866:0.244939:0.000000
).:@0.617055:0.260583:0.625063:0.260583:0.625063:0.244150:0.617055:0.244150:0.000000:0.000000
En algunos polinomios, es necesario hacer agrupaciones para extraer el factor común :@0.084829:0.296423:0.701702:0.296423:0.701702:0.279989:0.084829:0.279989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de entre sus elementos; luego de esto, es probable que exista otro factor común. De :@0.084829:0.313064:0.702332:0.313064:0.702332:0.296631:0.084829:0.296631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ser así, el polinomio queda factorizado por agrupación.:@0.084829:0.329706:0.482693:0.329706:0.482693:0.313272:0.084829:0.313272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 4:@0.073085:0.369453:0.148868:0.369453:0.148868:0.352783:0.073085:0.352783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factoriza el polinomio 6    24    5    20:@0.073085:0.400392:0.396655:0.400389:0.396655:0.383955:0.073085:0.383959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.246058:0.400392:0.253513:0.400392:0.253513:0.383986:0.246058:0.383986:0.000000
2:@0.253449:0.394325:0.258686:0.394325:0.258686:0.384744:0.253449:0.384744:0.000000
1:@0.262595:0.399834:0.277929:0.399834:0.277929:0.386118:0.262595:0.386118:0.000000
x:@0.299594:0.400389:0.307049:0.400389:0.307049:0.383983:0.299594:0.383983:0.000000
1:@0.310933:0.399834:0.326266:0.399834:0.326266:0.386118:0.310933:0.386118:0.000000
ax:@0.339022:0.400389:0.355662:0.400389:0.355662:0.383983:0.339022:0.383983:0.000000:0.000000
1:@0.359565:0.399834:0.374898:0.399834:0.374898:0.386118:0.359565:0.386118:0.000000
a:@0.396563:0.400389:0.405822:0.400389:0.405822:0.383983:0.396563:0.383983:0.000000
Solución:@0.073111:0.431329:0.139245:0.431329:0.139245:0.414659:0.073111:0.414659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El primer y segundo término tienen la variable   en común, mientras que el tercer y cuarto :@0.073111:0.462269:0.710584:0.462269:0.710584:0.445835:0.073111:0.445835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.401312:0.462269:0.408767:0.462269:0.408767:0.445862:0.401312:0.445862:0.000000
término tienen en común la constante  . Por lo tanto, los agrupamos de dos en dos. :@0.073111:0.478910:0.670097:0.478910:0.670097:0.462477:0.073111:0.462477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.350195:0.478910:0.359804:0.478910:0.359804:0.462227:0.350195:0.462227:0.000000
(6    24 )   (5    20 ):@0.295802:0.509850:0.483646:0.509842:0.483646:0.493408:0.295802:0.493417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.309497:0.509850:0.316952:0.509850:0.316952:0.493444:0.309497:0.493444:0.000000
2:@0.316878:0.503778:0.322115:0.503778:0.322115:0.494197:0.316878:0.494197:0.000000
1:@0.326025:0.509287:0.341358:0.509287:0.341358:0.495571:0.326025:0.495571:0.000000
x:@0.363024:0.509842:0.370479:0.509842:0.370479:0.493435:0.363024:0.493435:0.000000
1:@0.379148:0.509287:0.394482:0.509287:0.394482:0.495571:0.379148:0.495571:0.000000
ax:@0.412042:0.509842:0.428682:0.509842:0.428682:0.493435:0.412042:0.493435:0.000000:0.000000
1:@0.432585:0.509287:0.447918:0.509287:0.447918:0.495571:0.432585:0.495571:0.000000
a:@0.469583:0.509842:0.478842:0.509842:0.478842:0.493435:0.469583:0.493435:0.000000
Extraemos factor común en cada grupo.:@0.073091:0.540781:0.364148:0.540781:0.364148:0.524348:0.073091:0.524348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6 (    4)   5 (    4):@0.311888:0.571721:0.467558:0.571721:0.467558:0.555288:0.311888:0.555288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.320797:0.571721:0.340438:0.571721:0.340438:0.555315:0.320797:0.555315:0.000000:0.000000:0.000000
1:@0.344322:0.571167:0.359655:0.571167:0.359655:0.557451:0.344322:0.557451:0.000000
1:@0.381155:0.571167:0.396488:0.571167:0.396488:0.557451:0.381155:0.557451:0.000000
a x:@0.409244:0.571721:0.430689:0.571721:0.430689:0.555315:0.409244:0.555315:0.000000:0.000000:0.000000
1:@0.434573:0.571167:0.449906:0.571167:0.449906:0.557451:0.434573:0.557451:0.000000
Los dos términos tienen como factor común (    4). Por lo tanto tenemos::@0.073091:0.602661:0.611739:0.602661:0.611739:0.586228:0.073091:0.586228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.404606:0.602661:0.412061:0.602661:0.412061:0.586255:0.404606:0.586255:0.000000
1:@0.415945:0.602107:0.431278:0.602107:0.431278:0.588391:0.415945:0.588391:0.000000
6    24    5    20    (    4)(6    5 ):@0.235738:0.633601:0.543691:0.633589:0.543691:0.617155:0.235738:0.617167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.244647:0.633601:0.252102:0.633601:0.252102:0.617195:0.244647:0.617195:0.000000
2:@0.252030:0.627525:0.257266:0.627525:0.257266:0.617944:0.252030:0.617944:0.000000
1:@0.261176:0.633034:0.276510:0.633034:0.276510:0.619318:0.261176:0.619318:0.000000
x:@0.298175:0.633589:0.305630:0.633589:0.305630:0.617183:0.298175:0.617183:0.000000
1:@0.309514:0.633034:0.324847:0.633034:0.324847:0.619318:0.309514:0.619318:0.000000
ax:@0.337603:0.633589:0.354243:0.633589:0.354243:0.617183:0.337603:0.617183:0.000000:0.000000
1:@0.358146:0.633034:0.373479:0.633034:0.373479:0.619318:0.358146:0.619318:0.000000
a:@0.395144:0.633589:0.404403:0.633589:0.404403:0.617183:0.395144:0.617183:0.000000
5:@0.408287:0.633034:0.423620:0.633034:0.423620:0.619318:0.408287:0.619318:0.000000
x:@0.432272:0.633589:0.439727:0.633589:0.439727:0.617183:0.432272:0.617183:0.000000
1:@0.443611:0.633034:0.458944:0.633034:0.458944:0.619318:0.443611:0.619318:0.000000
x:@0.490199:0.633589:0.497654:0.633589:0.497654:0.617183:0.490199:0.617183:0.000000
1:@0.501538:0.633034:0.516872:0.633034:0.516872:0.619318:0.501538:0.619318:0.000000
a:@0.529628:0.633589:0.538887:0.633589:0.538887:0.617183:0.529628:0.617183:0.000000
Ejemplo 5:@0.073091:0.664529:0.148874:0.664529:0.148874:0.647859:0.073091:0.647859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factoriza el polinomio 12    2    3 18:@0.073091:0.695469:0.372149:0.695462:0.372149:0.679028:0.073091:0.679035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.254973:0.695469:0.262428:0.695469:0.262428:0.679062:0.254973:0.679062:0.000000
3:@0.262351:0.689398:0.267588:0.689398:0.267588:0.679817:0.262351:0.679817:0.000000
2:@0.271498:0.694908:0.286831:0.694908:0.286831:0.681192:0.271498:0.681192:0.000000
x:@0.299587:0.695462:0.307042:0.695462:0.307042:0.679056:0.299587:0.679056:0.000000
1 2:@0.310926:0.694908:0.354349:0.694908:0.354349:0.681192:0.310926:0.681192:0.000000:0.000000:0.000000
x:@0.372057:0.695462:0.379512:0.695462:0.379512:0.679056:0.372057:0.679056:0.000000
2:@0.379453:0.689398:0.384690:0.689398:0.384690:0.679817:0.379453:0.679817:0.000000
Solución:@0.073089:0.726400:0.139223:0.726400:0.139223:0.709730:0.073089:0.709730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Agrupamos el primer término con el tercer término y el segundo con el cuarto.:@0.073089:0.757340:0.645192:0.757340:0.645192:0.740906:0.073089:0.740906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(12    18 )   (2    3):@0.302388:0.788280:0.477055:0.788273:0.477055:0.771839:0.302388:0.771846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.324992:0.788280:0.332447:0.788280:0.332447:0.771873:0.324992:0.771873:0.000000
3:@0.332377:0.782209:0.337614:0.782209:0.337614:0.772628:0.332377:0.772628:0.000000
2:@0.341526:0.787719:0.356859:0.787719:0.356859:0.774003:0.341526:0.774003:0.000000
x:@0.378524:0.788273:0.385979:0.788273:0.385979:0.771867:0.378524:0.771867:0.000000
2:@0.385902:0.782209:0.391139:0.782209:0.391139:0.772628:0.385902:0.772628:0.000000
2:@0.399837:0.787719:0.415170:0.787719:0.415170:0.774003:0.399837:0.774003:0.000000
x:@0.432730:0.788273:0.440185:0.788273:0.440185:0.771867:0.432730:0.771867:0.000000
2:@0.444069:0.787719:0.459402:0.787719:0.459402:0.774003:0.444069:0.774003:0.000000
En el primer grupo, el factor común es 6 . En el segundo, el factor común es 1, por lo :@0.073089:0.819213:0.710526:0.819209:0.710526:0.802776:0.073089:0.802779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.370477:0.819213:0.377932:0.819213:0.377932:0.802807:0.370477:0.802807:0.000000
2:@0.377944:0.813146:0.383180:0.813146:0.383180:0.803565:0.377944:0.803565:0.000000
que obtenemos::@0.073083:0.835851:0.193017:0.835851:0.193017:0.819417:0.073083:0.819417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6  (2    3)   (2x   3):@0.307241:0.866791:0.472189:0.866789:0.472189:0.850355:0.307241:0.850357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.316150:0.866791:0.323605:0.866791:0.323605:0.850385:0.316150:0.850385:0.000000
2:@0.323535:0.860725:0.328772:0.860725:0.328772:0.851144:0.323535:0.851144:0.000000
x:@0.346378:0.866789:0.353833:0.866789:0.353833:0.850383:0.346378:0.850383:0.000000
2:@0.357717:0.866234:0.373051:0.866234:0.373051:0.852518:0.357717:0.852518:0.000000
2:@0.394547:0.866234:0.409880:0.866234:0.409880:0.852518:0.394547:0.852518:0.000000
2:@0.439203:0.866234:0.454536:0.866234:0.454536:0.852518:0.439203:0.852518:0.000000
Entre los dos términos, el factor común es (2    3). Al dividir tenemos::@0.073083:0.897729:0.579625:0.897729:0.579625:0.881295:0.073083:0.881295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.393332:0.897729:0.400787:0.897729:0.400787:0.881323:0.393332:0.881323:0.000000
2:@0.404671:0.897174:0.420004:0.897174:0.420004:0.883458:0.404671:0.883458:0.000000
12    2    3   18    (2    3)(6    1):@0.239889:0.928669:0.539566:0.928663:0.539566:0.912229:0.239889:0.912235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.257689:0.928669:0.265144:0.928669:0.265144:0.912262:0.257689:0.912262:0.000000
3:@0.265079:0.922599:0.270316:0.922599:0.270316:0.913018:0.265079:0.913018:0.000000
2:@0.274227:0.928108:0.289560:0.928108:0.289560:0.914392:0.274227:0.914392:0.000000
x:@0.302317:0.928663:0.309771:0.928663:0.309771:0.912256:0.302317:0.912256:0.000000
1 2:@0.313655:0.928108:0.361036:0.928108:0.361036:0.914392:0.313655:0.914392:0.000000:0.000000:0.000000
x:@0.382701:0.928663:0.390156:0.928663:0.390156:0.912256:0.382701:0.912256:0.000000
2:@0.390082:0.922599:0.395319:0.922599:0.395319:0.913018:0.390082:0.913018:0.000000
5:@0.399229:0.928108:0.414562:0.928108:0.414562:0.914392:0.399229:0.914392:0.000000
x:@0.432123:0.928663:0.439578:0.928663:0.439578:0.912256:0.432123:0.912256:0.000000
2:@0.443462:0.928108:0.458795:0.928108:0.458795:0.914392:0.443462:0.914392:0.000000
x:@0.490050:0.928663:0.497505:0.928663:0.497505:0.912256:0.490050:0.912256:0.000000
2:@0.497432:0.922599:0.502669:0.922599:0.502669:0.913018:0.497432:0.913018:0.000000
2:@0.506580:0.928108:0.521913:0.928108:0.521913:0.914392:0.506580:0.914392:0.000000
Si introduces términos en :@0.746323:0.187395:0.918352:0.187395:0.918352:0.172455:0.746323:0.172455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un paréntesis precedido :@0.746323:0.202524:0.909811:0.202524:0.909811:0.187584:0.746323:0.187584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del signo negativo, estos :@0.746323:0.217652:0.912681:0.217652:0.912681:0.202713:0.746323:0.202713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cambian de signo.:@0.746323:0.232781:0.867044:0.232781:0.867044:0.217842:0.746323:0.217842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.757484:0.247406:0.771424:0.247406:0.771424:0.234937:0.757484:0.234937:0.000000
8:@0.771340:0.247910:0.779506:0.247910:0.779506:0.232971:0.771340:0.232971:0.000000
x:@0.779439:0.247910:0.786216:0.247910:0.786216:0.232996:0.779439:0.232996:0.000000
2:@0.786148:0.242398:0.790909:0.242398:0.790909:0.233688:0.786148:0.233688:0.000000
2 52:@0.790865:0.247406:0.847325:0.247406:0.847325:0.234937:0.790865:0.234937:0.000000:0.000000:0.000000:0.000000
3:@0.804721:0.247910:0.812887:0.247910:0.812887:0.232971:0.804721:0.232971:0.000000
x:@0.812820:0.247910:0.819597:0.247910:0.819597:0.232996:0.812820:0.232996:0.000000
(8:@0.847242:0.247910:0.859775:0.247910:0.859775:0.232971:0.847242:0.232971:0.000000:0.000000
x:@0.859692:0.247910:0.866469:0.247910:0.866469:0.232996:0.859692:0.232996:0.000000
2:@0.866412:0.242398:0.871173:0.242398:0.871173:0.233688:0.866412:0.233688:0.000000
1:@0.871131:0.247406:0.885070:0.247406:0.885070:0.234937:0.871131:0.234937:0.000000
3 ):@0.884986:0.247910:0.904230:0.247910:0.904230:0.232971:0.884986:0.232971:0.000000:0.000000:0.000000
x:@0.893086:0.247910:0.899863:0.247910:0.899863:0.232996:0.893086:0.232996:0.000000
Competencia :@0.740289:0.145424:0.838980:0.145424:0.838980:0.130018:0.740289:0.130018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740289:0.160553:0.828903:0.160553:0.828903:0.145147:0.740289:0.145147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 8 (Ev. 4) Reconoce y representa relaciones numéricas mediante expresiones algebraicas y encuentra el conjunto de variación de :@0.080591:0.963221:0.781033:0.963221:0.781033:0.951269:0.080591:0.951269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una variable en función del contexto.:@0.080591:0.975324:0.276565:0.975324:0.276565:0.963372:0.080591:0.963372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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