## Precalculus (6th Edition) Blitzer

We know that it is an algorithm of starting with the simplified answer and computing it apart by “decomposing” it into its initial polynomial fraction. $\frac{F\left( x \right)}{G\left( x \right)}$ is the reduced partial fraction decomposition of a rational expression. The functions $F\left( x \right)$ and $G\left( x \right)$ have no common factors and the highest power of the irreducible factor in the denominator is greater than the highest power of the numerator.