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Evaluación Bloque II: Multiplicación de Polinomios

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Evaluación Bloque II: Multiplicación de Polinomios

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Evaluación dinámica de polinomios

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Robótica CCA
Robótica CCA
Guatemala

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Evaluación Bloque II: Multiplicación de Polinomios
 

Evaluación Bloque II: Multiplicación de PolinomiosOnline version

Evaluación dinámica de polinomios

by Robótica CCA
1

1) Al multiplicar polinomios, ¿cómo se combinan los exponentes de la misma variable?

2

2) ¿Cuál es el producto de (x+3)(x-2)?

3

3) ¿Qué expresa la propiedad distributiva en (a+b)(c+d)?

4

4) Calcular: (2x^2)(3x^3)

5

5) ¿Cuál es el resultado de (-x)(-y)?

6

6) Si se multiplican polinomios y aparece un término común en todos, ¿qué se hace con ese factor?

7

7) ¿Qué regla describe el grado del producto de dos polinomios?

8

8) ¿Qué expresa el término x^2 en el producto (x^2)(x+1)?

9

9) Factoriza: x^2+3x+2

10

10) ¿Qué indica la multiplicación de polinomios en una forma vertical?

Explicación

La regla de la multiplicación de potencias con la misma base indica sumar exponentes.

Aplicando distributiva: x^2 -2x +3x -6 = x^2 + x -6.

Expande cada término de un binomio por cada término del otro.

Multiplica coeficientes y suma exponentes: 2·3=6 y x^(2+3)=x^5.

Producto de signos negativos da positivo.

Se identifica y extrae el factor común.

El grado del producto es la suma de los grados de los factores.

Distribuye x^2: x^2·x + x^2·1 = x^3 + x^2.

Buscar factores que sumen 3 y multipliquen 2.

Se multiplican fila por fila y se suman resultados, similar a la columna de suma.

 
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