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: 2

Answer

Incorrect. The third term on the RHS should be $\displaystyle \frac{C}{(x-4)^{2}}$. All else remains.

Work Step by Step

see p.544. Decomposition with a Repeated Linear Factor In the Denominator Include one partial fraction with a constant numerator for each power of a repeated linear factor in the denominator. ---------- The denominator on the LHS contains a repeated linear factor. The numerators on the RHS should be constants, which is OK. The repeated linear factor is $(x-4).$ One denominator on the RHS should be $(x-4)$, and another: $(x-4)^{2}$. The error is in the denominator below C. It should be $(x-4)^{2}$
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