## Elementary Algebra

Published by Cengage Learning

# Chapter 5 - Exponents and Polynomials - 5.4 - Dividing by Monomials - Problem Set 5.4 - Page 212: 32

#### Answer

$9x^6-12x^4-15x^2$

#### 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. $=\dfrac{27x^7}{3x} - \dfrac{36x^5}{3x}- \dfrac{45x^3}{3x} \\=9x^{7-1}- 12x^{5-1}-15x^{3-1} \\=9x^6-12x^4-15x^2$

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