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Reto: Expansión de polinomios

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Reto: Expansión de polinomios

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Expande productos de polinomios paso a paso

Created by

Sugeyli Calderón
Sugeyli Calderón
Mexico

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Reto: Expansión de polinomios
 

Reto: Expansión de polinomiosOnline version

Expande productos de polinomios paso a paso

by Sugeyli Calderón
1

Multiplico dos polinomios simples para ver qué encuentro al final. Si tomo (x + 3) y (x − 2), ¿cuál es el resultado escrito con las potencias de x ordenadas de mayor a menor?

Pistas

Ordena los términos por grado de x de mayor a menor para obtener x^2 + x - 6.

Multiplica x por x y por -2, y luego 3 por x y por -2.

Usa la distributiva para multiplicar cada término del primer polinomio por cada término del segundo.

2

Multiplico dos polinomios para obtener su producto. ¿Qué polinomio resulta de multiplicar (2x + 3) por (x - 4)?

Pistas

Suma los términos semejantes para obtener el polinomio final: 2x^2 - 8x + 3x - 12 = 2x^2 - 5x - 12.

Multiplica 2x por x y por -4, y luego 3 por x y por -4.

Aplica la regla distributiva: cada término del primer polinomio se multiplica por cada término del segundo.

3

Multiplica estos polinomios y escribe el resultado en forma de grado descendente: (3x^2 + 2x + 5) · (x + 4).

Pistas

Finalmente, agrupa y simplifica para obtener el polinomio en orden descendente de potencias.

Luego añade los productos que resultan en términos semejantes.

Aplica la distributiva (FOIL) para cada término del primer polinomio con cada término del segundo.

 
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