Question

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.

Answer 1

Answer:

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