Question

Is (x-4) a factor of (x3 +x2 -16x-16)?

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Answer 1

f(x)= x^3+x^2-16x-16

By the factor theorem,

f(4)=4^3+4^2-(16×4)-16 =0

Since f(4)=0, (x-4) is a factor of x^3+x^2-16x-16

Explanation: