College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Section 8.5 - Partial Fraction Decomposition - 8.5 Assess Your Understanding - Page 608: 6

Answer

The rational expression is proper.

Work Step by Step

The rational expression $\displaystyle \frac{P}{Q}$ is called proper if the degree of the polynomial in the numerator is less than the degree of the polynomial in the denominator. Otherwise, the rational expression is called improper. --- The degree of the numerator, $P(x)=5x+2$, is $1$, and the degree of the denominator$ , Q(x)=x^{3}-1$ is $3$. The rational expression is proper.
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