If x = 2 is a double root of p(x), what does that imply?

A (x − 2) divides p(x) but p′(2) ≠ 0

B (x − 2)^3 divides p(x) and p(2) = 0

C (x − 2)^2 divides p(x) and p(2) = p′(2) = 0

D p(2) ≠ 0 but p′(2) = 0

Correct Answer: Option C