Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.4 - Dividing by Monomials - Problem Set 5.4: 34

Answer

$8n^7-12n^4+13$

Work Step by Step

Recall the following rule: $\frac{a^{m}}{a^{n}}=a^{m-n}$ In order to solve this problem, use the rule above and cancel out common factors that are in both the numerator and the denominator of the fraction. $=\dfrac{-56n^9}{-7n^2} + \dfrac{84n^6}{-7n^2}- \dfrac{91n^2}{-7n^2} \\=8n^{9-2}- 12n^{6-2}+13n^{2-2} \\=8n^7-12n^4+13n^0 \\=8n^7-12n^4+13(1) \\=8n^7-12n^4+13 $
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