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RETO DE ALGEBRA

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INSTRUCCIONES
1. lea la pregunta cuidadosamente
2.Elija la respuesta correcta A,B,C o D
3. Diviértete

Created by

PAOLA ALEJANDRA ARANGO NARVAEZ
PAOLA ALEJANDRA ARANGO NARVAEZ
Colombia

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RETO DE ALGEBRA
 

RETO DE ALGEBRAOnline version

INSTRUCCIONES 1. lea la pregunta cuidadosamente 2.Elija la respuesta correcta A,B,C o D 3. Diviértete

by PAOLA ALEJANDRA ARANGO NARVAEZ
1

¿Cuál es la factorización correcta de la siguiente expresión? x² + 7x + 12

2

Simplifica la siguiente expresión algebraica: 3x² + 5x - 2x² + 7x - 4

3

¿Cuál es el resultado de factorizar por factor común? 6x³ + 9x² - 12x

4

¿Cuál de estas expresiones es una diferencia de cuadrados?

5

¿Cuál es la factorización completa de la siguiente expresión? 4x² - 36

Explicación

¡ Para factorizar x² + 7x + 12, buscamos dos números que multiplicados den 12 y sumados den 7. Esos números son 3 y 4, por lo tanto: (x + 3)(x + 4).

Agrupamos términos semejantes: (3x² - 2x²) + (5x + 7x) - 4 = x² + 12x - 4.

El factor común es 3x. Al factorizarlo: 3x(2x² + 3x - 4).

x² - 16 = x² - 4² es una diferencia de cuadrados que se factoriza como (x + 4)(x - 4).

Primero sacamos el factor común 4: 4(x² - 9). Luego factorizamos la diferencia de cuadrados: 4(x + 3)(x - 3).

 
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