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.

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