College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 5 - Systems of Equations and Inequalities - Concept and Vocabulary Check: 3

Answer

Incorrect. On the RHS, $\displaystyle \frac{B}{x^{2}+4}$ should be replaced wirh $\displaystyle \frac{Bx+C}{x^{2}+4}$

Work Step by Step

On the RHS, the term $\displaystyle \frac{A}{x+1}$ is correct, (see p.541. Decomposition with Distinct Linear Factors In the Denominator: Include one partial fraction with a constant numerator for each distinct linear factor in the denominator. ) But, the term $\displaystyle \frac{B}{x^{2}+4}$ is incorrect. (see p.545. Nonrepeated Prime Quadratic Factors In the Denominator: Include one partial fraction with a LINEAR numerator for each distinct prime quadratic factor in the denominator. ) $\displaystyle \frac{B}{x^{2}+4}$ should be replaced wirh $\displaystyle \frac{Bx+C}{x^{2}+4}$
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