Question

Given a polynomial f(x), if (x + 3) is a factor, what else must be true?

Answer 1

If we assume that (x + A) is a factor of p(x), Then
for x = -A, we get
p(-A) = 0
So for the factor (x + 3), if x = -3, then
p(-3) = 0
This is actually the zero product property and this must be true. I hope that the answer has come to your help.