Question

10. Efectúe la división de polinomios.
3x³-3-6x
3 + 3x
Cociente:???

Answer 1

Explicación paso a paso:

Resolvemos:

(3x³ - 3 - 6x)/(3 + 3x)

(3(x³ - 1 - 2x))/(3(1 + x))

(x³ - 2x - 1)/(x + 1)

(x³ - x - x -1)/(x + 1)

(x(x² - 1) - (x + 1))/(x + 1)

(x(x + 1)(x - 1) - (x + 1))/(x + 1)

(x + 1)(x(x - 1) - 1)/(x + 1)

x(x - 1) - 1

x² - x - 1

Respuesta: El Cociente es x² - x - 1

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