Will give brainliest!

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.

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

Step-by-step explanation:

The remainder theorem states that p (a) = 0 then a is a root

if p (a) = y then the remainder when the polynomial is divided by x-a is y

so if p (3) = - 2

we know that x-3 cannot be a root because it would have to = 0

We do know that the remainder when p (x) / (x-3) is - 2