SOLUTION: Is (x-2) a factor of f(x) = -6x^3 + 11x + 3x

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Question 920318: Is (x-2) a factor of f(x) = -6x^3 + 11x + 3x - 2? Justify your answer.
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Remainder Theorem: Given some polynomial f(x), if f(p) = 0, then x - p is a factor of f(x)

I'm assuming you were given f(x) = -6x^3 + 11x^2 + 3x - 2

Plug in x = 2

f(x) = -6x^3 + 11x^2 + 3x - 2

f(2) = -6(2)^3 + 11(2)^2 + 3(2) - 2

f(2) = 0

Because f(2) = 0, this means x-2 is a factor of f(x)

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Jim

SOLUTION: Is (x-2) a factor of f(x) = -6x^3 + 11x + 3x - 2? Justify your answer.