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Quiz de Potencias y Factores

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Quiz de Potencias y Factores

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About this activity

Verdadero o falso sobre factorización de potencias

Created by

Maribel Marlene Chávez Arévalo
Maribel Marlene Chávez Arévalo
Ecuador

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Quiz de Potencias y Factores
 

Quiz de Potencias y FactoresOnline version

Verdadero o falso sobre factorización de potencias

by Maribel Marlene Chávez Arévalo
1

Para n impar, x^n + y^n se puede factorizar como (x+y)(x^{n-1}-y^{n-1}).

2

En x^2 - y^2, la factorización no puede escribirse como (x - y)(x + y).

3

Cuando n es impar, x^n + y^n se factoriza como (x+y)(x^{n-1}-x^{n-2}y+...+y^{n-1}).

4

La suma de potencias x^n + y^n con n impar siempre es irreducible en los reales.

5

En la factorización de potencias, el segundo factor de x^n - y^n siempre tiene exactamente n-1 términos.

6

El segundo factor de x^n - y^n es una suma de términos con signos positivos.

7

Para n par en x^n - y^n, la factorización no tiene (x - y) como primer factor.

8

La diferencia de potencias x^n - y^n es siempre divisible por (x - y).

9

El primer factor de x^n - y^n es (x - y).

10

En x^7 - y^7, el segundo factor es x^6 + x^5y + x^4y^2 + x^3y^3 + x^2y^4 + xy^5 + y^6.

 
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