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: 26

Answer

$3x^2+4x^5$

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. $=\dfrac{12x^3}{4x} + \dfrac{16x^6}{4x} \\=3x^{3-1} +4x^{6-1} \\=3x^2+4x^5$
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