Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

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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