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.

m

D

Step-by-step explanation:

The factor theorem states if (x - h) is a factor of a polynomial p(x) then

p(h) = 0

However, p(h) ≠ 0 then the value obtained is the remainder.

Thus

p(3) = - 2

When p(x) is divided by (x - 3) then the remainder is - 2

0.85% : )

step-by-step explanation: