5.3 - Solving Polynomial Equations

To solve polynomial equations by factoring

The polynomial was third degree and there were three roots (three factors).

Wow. That is a crazy coincidence. I wonder if it's like that all the time?

The number of roots of the polynomial will equal the degree of the polynomial. And the graph of the polynomial will have one fewer turning points than the degree.

If we can factor the polynomial, we can solve the polynomial. We have multiple tactics. We can factor the sum or difference of two cubes if that applies. We can sometimes factor by grouping. If that will not work we'll find out next section that we can use synthetic division to test for divisibility.