# Chapter 7 - Section 7.3 - Partial Fractions - Exercise Set - Page 842: 53

It is the operation for computing the change of a rational function in the more simplified form by taking it apart through “decomposing” it into its initial algebraic polynomial fraction.

#### Work Step by Step

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.

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