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:

NO (X-2) IS NOT A FACTOR OF THE POLYNOMIAL

Step-by-step explanation:

If (x-2) is factor of f(x) then

f(2)=0. (remainder theorem)

BUT HERE f(2) IS

2³-2(2)²+2(2)+3=8-8+4+3=7

HENCE (x-2) IS NOT A FACTOR OF f(x)