Divide the polynomial: (\left(x^3+2x-12\right))/(x-2)

Question

Divide the polynomial:

`(\left(x^3+2x-12\right))/(x-2)`

Answer 1

x^3 + 2x - 12 = (x - 2)(x^2 + 2x + 8) + 0

Explanation:

x^2 + 2x + 8

___________________

x - 2 | x^3 + 0x^2 + 2x - 12

- (x^3 - 2x^2)

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2x^2 + 2x

- (2x^2 - 4x)

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6x - 12

- (6x - 12)

_________

0

x^3 + 2x - 12 = (x - 2)(x^2 + 2x + 8) + 0

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