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Factorización y comprobación (2º de Bachillerato)

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Factorización y comprobación (2º de Bachillerato)

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Quiz de factorizaciones: 10 preguntas

Created by

Anthony Miranda
Anthony Miranda
Ecuador

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Factorización y comprobación (2º de Bachillerato)
 

Factorización y comprobación (2º de Bachillerato)Online version

Quiz de factorizaciones: 10 preguntas

by Anthony Miranda
1

Factoriza el factor común: 6x^3y + 9x^2y.

2

Factoriza diferencia de cuadrados: x^2 - 9.

3

Completa el trinomio cuadrado perfecto: x^2+6x+9.

4

Factoring ax^2+bx+c con a≠1: 2x^2+5x+2.

5

Factoriza suma de cubos: x^3+8.

6

Factoriza 4x^2y^3 - 8xy^2.

7

Factoriza x^2+5x-6 (TCP con c negativo).

8

Factoriza x^2-4x+4.

9

Factoriza diferencia de cubos: x^3-8.

10

Factoriza 6x^2+9x.

Explicación

Caso: identifica el común. Paso: saca factor común 3x^2y. Comprobación: multiplica 3x^2y(2x+3) para obtener la expresión original.

Caso: diferencia de cuadrados a^2-b^2. Paso: (a-b)(a+b) con a=x, b=3.

Caso: formato a^2+2ab+b^2. Paso: identificar b=3, factoriza como (x+3)^2.

Caso: busca factores de ac=4 que sumen b=5. Paso: 4 y 1. Comprobación: (2x+1)(x+2)=2x^2+5x+2.

Caso: a^3+b^3. Paso: usa (a+b)(a^2-ab+b^2). Comprobación: multiplica para obtener x^3+8.

Caso: dominio común: 4xy^2. Paso: factoriza 4xy^2(xy-2). Comprobación: 4xy^2(xy-2)=4x^2y^3-8xy^2.

Caso: buscar números que multiplican -6 y suman 5. Paso: 6 y -1. Comprobación: (x+6)(x-1)=x^2+5x-6.

Caso: trinomio cuadrado perfecto con b=−4, c=4. Paso: (x-2)^2. Comprobación: x^2-4x+4.

Caso: a^3-b^3. Paso: (a-b)(a^2+ab+b^2) con a=x, b=2. Comprobación: multiplica para obtener x^3-8.

Caso: factor común 3x. Paso: 3x(2x+3). Comprobación: 3x(2x+3)=6x^2+9x.

 
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