Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 5 - Polynomials and Factoring - 5.4 Factoring Perfect-Square Trinomials and Differences of Squares - 5.4 Exercise Set - Page 333: 100

Answer

$$x+4+\frac{10}{x-5}$$

Work Step by Step

In order to divide by a polynomial, we first factor the numerator. Next, we look for common terms in the numerator and the denominator. Finally, we cancel out common terms to get the final answer. Doing this, we find: $$\frac{x^2-x-10}{x-5} \\ x+\frac{4x-10}{x-5}\\ x+4+\frac{10}{x-5}$$
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