Question

Given that (x + 2) is a factor of f(x), what is the value of f(-2)? Explain how you know.

Answer 1

f(-2) = 0

Explanation:

well we can express f(x) as follows

`f(x) = (x+2)Q(x)\\\\`

we don't need the value of q(x) (for this exercise)

now evaluate when x = -2

`f(-2)=(-2+2)Q(-2)\\\\f(-2)=0(Q(-2))\\\\f(-2) = 0`