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: 45

Answer

-3$x^{4}$ - 5$x^{2}$ + 7

Work Step by Step

$\frac{-42x^{6} - 70x^{4} + 98x^{2}}{14x^{2}}$ = RECALL: $\frac{b^{n}}{b^{m}}$ = $b^{n-m}$ So, $\frac{-42x^{6} - 70x^{4} + 98x^{2}}{14x^{2}}$ = $\frac{-42x^{6}}{14x^{2}}$ + $\frac{- 70x^{4}}{14x^{2}}$ + $\frac{ 98x^{2}}{14x^{2}}$ = $\frac{-42}{14}$$x^{6-2}$ + $\frac{-70}{14}$$x^{4-2}$ + $\frac{98}{14}$$x^{2-2}$ = -3$x^{4}$ - 5$x^{2}$ + 7
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