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Ruffini - Divisi�n Sintética

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Ruffini - Divisi�n Sintética

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Ejercicios de Ruffini

Created by

Yerenia Santiago Ynoa
Yerenia Santiago Ynoa
Dominican Republic

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Ruffini - Divisi�n Sintética
 

Ruffini - Divisi�n SintéticaOnline version

Ejercicios de Ruffini

by Yerenia Santiago Ynoa
1

¿Qué fórmula usa la Regla de Ruffini para dividir un polinomio entre (x - c)?

2

¿Cu�l es el primer paso al aplicar Ruffini si p(x)=2x^3-3x^2+x-5 y c=2?

3

¿Qu� representa el valor obtenido al final del proceso sint�tico en Ruffini?

4

Si p(x)=x^3-6x^2+11x-6 y c=1, ¿cuál es el primer coeficiente del cociente en Ruffini?

5

¿Qué indica un resto cero al aplicar Ruffini a p(x) y (x - c)?

6

Si p(x)=2x^2+3x+5 y c=-2, ¿qué dato no cambia al aplicar Ruffini?

7

¿Qué debe llenarse en la fila de Ruffini tras procesar el primer coeficiente 2 cuando c=3?

8

En p(x)=ax^n+...+k, ¿cuál es la relación entre c y el divisor en Ruffini?

9

¿Qué ocurre si p(c) ≠ 0 al aplicar Ruffini?

10

¿Qué función representa el conjunto de coeficientes que se usan en Ruffini?

Explicación

La Regla de Ruffini aplica divisi�n sint�tica entre un polinomio y (x - c).

Se colocan los coeficientes para la divisi�n sint�tica.

El último valor derivado representa el resto; si se usa la forma correcta, da el cociente y el resto.

El primer coeficiente del cociente corresponde al grado menos uno del polinomio original.

Resto cero implica que p(c)=0, es decir, c es raíz.

La técnica usa los coeficientes y el binomio divisor; c=-2 corresponde a (x+2).

El primer coeficiente del cociente siempre es el primer coeficiente original.

Ruffini divide por (x - c).

Si p(c) no es cero, el resto es p(c) y no hay división exacta.

Se utilizan los coeficientes en orden para la divisi�n sint�tica.

 
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