If the factors of a polynomial are x+8 and x+4, what values of x make of polynomial 0?

x = - 8, x = - 4

Step-by-step explanation:

Adding a number and its opposite gives a result of 0. That is, x+8 will be 0 when x = - 8, because - 8 + 8 = 0.

Likewise, x+4 will be zero when x = - 4, because - 4 + 4 = 0.

The values of x that make (x+8) (x+4) = 0 are - 8 and - 4.