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 - Concept and Vocabulary Check - Page 444: 6

Answer

The question mark is $9$. The quotient is $3x-5$. The remainder is $9$. The answer is $3x-5 +\frac{9}{2x+1}$.

Work Step by Step

Subtract $-10x-5$ from $-10x+4$. $\Rightarrow -10x+4-(-10x-5)$ $\Rightarrow -10x+4+10x+5$ $\Rightarrow 9$. The question mark is $=9$. The quotient is $=3x-5$. The remainder is $=9$. The answer is $=quotient +\frac{remainder}{divisor}$. Substitute all values. The answer is $=3x-5 +\frac{9}{2x+1}$.
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