Question

is (x-2) a factor of f(x) = x^3 − 2x^2 + 2x + 3, use either remainder theorem or factor theorem to explain your reasoning

Answer 1

Explanation:

x-2=0

x=2

f(2)=2³-2(2)²+2(2)+3=8-8+4+3=7≠0

so x-2 is not a factor of f(x).