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 - Page 212: 31

Answer

$5x^4-8x^3-12x$

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. $=\dfrac{35x^6}{7x^2} - \dfrac{56x^5}{7x^2}- \dfrac{84x^3}{7x^2} \\=5x^{6-2}- 8x^{5-2}-12x^{3-2} \\=5x^4-8x^3-12x$
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