Answer
$$x^2+x+\frac{7}{x-1}$$
Work Step by Step
We divide the two expressions by using long division. Thus, we find:
$$ \frac{x^3-x+7}{x-1} \\ x^2+\frac{x^2-x+7}{x-1}\\ x^2+x+\frac{7}{x-1}$$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 6 - Rational Expressions and Equations - 6.7 Applications Using Rational Equations and Proportions - 6.7 Exercise Set - Page 430: 72
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