## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 6 - Section 6.4 - Division of Polynomials - Exercise Set - Page 444: 7

#### Answer

$-5x^{3}+10x^{2}-\displaystyle \frac{3}{5}x+8$

#### Work Step by Step

Using the property: $\displaystyle \quad\frac{A+B}{C}=\frac{A}{C}+\frac{B}{C},$ $\displaystyle \frac{25x^{8}-50x^{7}+3x^{6}-40x^{5}}{-5x^{5}}=\frac{25x^{8}}{-5x^{5}}-\frac{50x^{7}}{-5x^{5}}+\frac{3x^{6}}{-5x^{5}}-\frac{40x^{5}}{-5x^{5}}$ = $-5x^{3}+10x^{2}-\displaystyle \frac{3}{5}x+8$

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