For a polynomial p(x), the value of p(3) is −2.

Which of the following must be true about p(x)?

A) x−5 is a factor of p(x).

B) x−2 is a factor of p(x).

C) x+2 is a factor of p(x).

D) The remainder when p(x) is divided by x−3 is −2.

Source: SAT

(In reply to

Solution by Brian Smith)

**You say**

p(x) = x^2 - 11 satisfies the requirement of p(3) = -2.

**so does polynome p(x)=x-5**

**making the rest of your answer:**

However none of x-5, x-2, or x+2 are factors of x^2-11. Therefore none of A, B, or C must be true.

**not valid .**

**PLEASE RECONSIDER.**