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: 46

Answer

-3$x^{4}$ - 5$x^{2}$ + 6

Work Step by Step

$\frac{-48x^{8} - 80x^{6} + 96x^{4}}{16x^{4}}$ = RECALL: $\frac{b^{n}}{b^{m}}$ = $b^{n-m}$ So, $\frac{-48x^{8} - 80x^{6} + 96x^{4}}{16x^{4}}$ = $\frac{-48x^{8}}{16x^{4}}$ + $\frac{-80x^{6}}{16x^{4}}$ + $\frac{96x^{4}}{16x^{4}}$ = $\frac{-48}{16}$$x^{8-4}$ + $\frac{-80}{16}$$x^{6-4}$ + $\frac{96}{16}$$x^{4-4}$ = -3$x^{4}$ - 5$x^{2}$ + 6
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