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

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

## This Post Has 3 Comments

D. f(2) = 0

Step-by-step 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

2. gujaratif932 says: