Question

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

Answer 1

`x=-8` or `x=-4`

Explanation:

Say the polynomial is `p(x)=k*(x+8)(x+4)`.

If `p(x)=0`, then `k*(x+8)(x+4)=0`.

Either `x+8=0` or `x+4=0`. In the first case we get `x=-8`. In the second case we get `x=-4`.