Question

Is (x − 2) a factor of f(x) = x^3 − 2x^2 + 2x + 3? Use either the remainder theorem or the factor theorem to explain your reasoning.

Answer 1

Answer:

x³-2x²+2x+3

(x-2)

x=2

2³-2(2²)+2(2)+3

8-8+4+3

0+7=7

so,(x-2) is not a factor of x³-2x²+2x+3

hope it's help you