Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.4 - Dividing Polynomials; Remainder and Factor Theorems - Exercise Set - Page 363: 9

Answer

quotient $2x^2+x+6$ and remainder $r(x)=\frac{-38}{x+3}$
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Work Step by Step

Step 1. Using long division as shown in the figure, we can obtain $\frac{2x^3+7x^2+9x-20}{x+3}=2x^2+x+6+\frac{-38}{x+3}$ Step 2. We can identify the quotient as $2x^2+x+6$ and the remainder as $r(x)=\frac{-38}{x+3}$
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