Question

Given a polynomial f(x), if (x + 2) is a factor, what else must be true?

f(0) = 2
f(0) = -2
f(2) = 0
f(-2) = 0

Answer 1

Im pretty sure is D...Just checking though.

Answer 2

yes
its the factor theorem which states that if (x - a) is a factor of a polynomial then f(a) = 0.

Answer 3

so (x + 2) = (x - (-2))
thus f(-2) = 0

Answer 4

you are correct.
because call any (second) factor (x+k)
you have: f(x)=(x-2)(x+k) and the zero product property gives you that when one of the factors is equal to zero, the f(x)=0.
if x=2, then (x-2) is equal to 0.........

Answer 5

btw, check the feedback section.