Question

Given a polynomial f(x), if (x − 2) is a factor, what else must be true?

A. f(0) = 2
B. f(0) = −2
C. f(−2) = 0
D. f(2) = 0

Answer 1

D. f(2) = 0

Explanation:

If x-2 is a factor of a function, then f(2) must be zero

f(x) = p(x) * (x-2) since (x-2) is a factor of f(x)

Substitute in x=2

f(2) = p(2) (2-2)

f(2) = p(2) *(0)

Anything times 0 = 0

f(2) = 0