Partial Fractions

In class, we learned about partial fraction decompositions. Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions. To decompose a fraction, you first factor the denominator. Then you write the fractions with one of the factors for each of the denominators.
Then you set this sum equal to the simplified result. Multiply things out, and group the x-terms and the constant term.