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Quizz: Binomios con término común

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Quizz: Binomios con término común

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Created by

Yesica Orozco
Yesica Orozco
Guatemala

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Quizz: Binomios con término común
 

Quizz: Binomios con término comúnOnline version

Dominio del tema

by Yesica Orozco
1

¿Cuál par de binomios tiene término común en 3x?

2

¿Cuál es la expansión correcta de (3x+5)(3x+2)?

3

Qué término es común en (4x+3)(4x+7)?

4

Si un binomio tiene término común, ¿se puede factorizar así?

5

Cuál es la expansión de (5x+2)(5x+4)?

6

¿Qué indica que hay término común entre dos binomios?

7

¿Qué factor común extrae de (7x+3)(7x+9)?

8

¿Qué se obtiene al factorizar (6x+2)(6x+5)?

9

¿Es correcto decir que (ax+b)(ax+c) es un ejemplo de binomios con término común?

10

Si expandes (4x+1)(4x+3), ¿cuál es el coeficiente lineal?

Explicación

El término común es 3x en ambos binomios.

Aplicar FOIL: 3x·3x=9x^2, 3x·2=6x, 5·3x=15x, 5·2=10; suma 21x.

La estructura es (ax+b)(ax+c) con ax como término común.

Primero identificas el término común; luego factorizas fuera.

FOIL: 5x·5x=25x^2, 5x·4=20x, 2·5x=10x, suma 30x.

Ejemplo: (ax+b)(ax+c) comparten ax como término inicial.

El factor común es 7x en ambos binomios.

El término común es 6x; factoriza fuera 6x.

Sí, comparten ax como término inicial.

FOIL: 4x·4x=16x^2, 4x·3=12x, 1·4x=4x; total 16x^2+16x+3.

 
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