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Factoreo: Desafío de factoring

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Factoreo: Desafío de factoring

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Factores y polinomios

Created by

STEVEN DANIEL HURTADO SERRANO
STEVEN DANIEL HURTADO SERRANO
El Salvador

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Factoreo: Desafío de factoring
 

Factoreo: Desafío de factoringOnline version

Factores y polinomios

by STEVEN DANIEL HURTADO SERRANO
1

¿Cuál es el factor común en 6x^2 + 9x?

2

Factoriza x^2 - 5x + 6.

3

Factoriza 4x^2 - 9.

4

Factoriza x^2 + 7x + 12.

5

Factoriza por agrupación: 3x^2+6x+2x+4.

6

Factoriza 9y^2 - 4.

7

Factoriza 6x^2+5x-6.

8

Factoriza 8x^3+4x^2+2x.

9

Factoriza x^2 - 4x - 5.

10

Factoriza 2a^2+5ab+3b^2.

Explicación

El máximo divisor común de 6x^2 y 9x es 3x.

Buscar dos números que sumen -5 y multipliquen 6: -2 y -3.

Es diferencia de cuadrados: a^2 - b^2 = (a-b)(a+b).

Buscar factores que sumen 7 y multipliquen 12.

Agrupar: 3x^2+6x + 2x+4 = 3x(x+2)+2(x+2).

Diferencia de cuadrados: (3y)^2 - 2^2.

Discriminante da 25+144=169, raíces 2/3 y -3/2.

Primero sacar el máximo factor común 2x.

Buscar dos números que sumen -4 y multipliquen -5: -5 y 1.

Dos números que multiplican 6 y suman 5 son 2 y 3.

 
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