Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.4 - Division of Polynomials - Exercise Set - Page 444: 2

Answer

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

Work Step by Step

Using the property: $\displaystyle \quad\frac{A+B}{C}=\frac{A}{C}+\frac{B}{C},$ $\displaystyle \frac{49x^{7}-28x^{5}+14x^{3}}{7x^{3}}=\frac{49x^{7}}{7x^{3}}-\frac{28x^{5}}{7x^{3}}+\frac{14x^{3}}{7x^{3}}$ $= 7x^{7-3}-4x^{5-3}+2x^{3-3}$ = $7x^{4}-4x^{2}+2$
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