First thing to do here is to factor out the common 5x. When you do that you end up with this: [tex]5x( x^{2} +2x-3)[/tex]. It's easy enough now to factor the second degree polynomial inside the parenthesis. The 2 numbers that add up to be 2 and multiply to be -3 are x = 1 and x = -3. But we also have to consider the fact that 5x = 0 and x = 0. This is a third degree polynomial, after all, so we need to find 3 solutions. Here they all are: x = -3, 0, 1
