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Reducción de polinomios

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Reducción de polinomios

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Quiz de reducción de polinomios

Created by

Jorge Garcia
Jorge Garcia
Guatemala

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Reducción de polinomios
 

Reducción de polinomiosOnline version

Quiz de reducción de polinomios

by Jorge Garcia
1

¿Qué resultado se obtiene al combinar términos semejantes en 3x^2 + 5x - 2x^2 + 4x + 7?

2

Simplifica: 4x^3 - 2x^3 + x^2 - 5x^2 + 7x - x.

3

¿Qué factor común tiene 6x^3 + 9x^2 en su forma factorizada simple?

4

Divide polinómicamente: (2x^3 + x^2 - x) ÷ x.

5

Factoriza: x^2 - 5x + 6.

6

Si 3x^2 - 12x es factor común, ¿qué factor sale al extraerlo de 9x^2 - 36x?

7

¿Cuál es la reducción de 5x^4 - 3x^4 + x^3 - 2x^3 en términos de grado más alto?

8

¿Qué ocurre al dividir por x en un polinomio que tiene término constante?

9

¿Qué es la reducción modular de un polinomio p(x) respecto a x^n?

10

Reduce: (x^3 - 4x^2 + x) + (2x^3 + x^2 - 3x).

Explicación

Se suman los coeficientes de igual grado: (3-2)x^2 + (5+4)x + 7.

Agrupa términos de igual grado y combo coeficientes: (4-2)x^3 + (1-5)x^2 + (7-1)x.

El máximo común divisor es 3x^2.

Cada término se divide entre x: 2x^2 + x - 1.

Buscas factores cuyo producto sea 6 y suma -5.

El MCD es 3x, quedando 3x(3x - 12) dentro.

Combinando x^4: 5-3 = 2; x^3: 1-2 = -1.

Dividir por x reduce cada término de grado n a grado n-1; el constante desaparece.

En módulo x^n, x^n ≡ 0, se eliminan términos de grado ≥ n.

Suma coeficientes por grado: (1+2)x^3, (-4+1)x^2, (1-3)x.

 
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