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: 7

Answer

quotient $4x+3$ and remainder $r(x)=\frac{2}{3x-2}$

Work Step by Step

Step 1. Using long division as shown in the figure, we can obtain $\frac{12x^2+x-4}{3x-2}=4x+3+\frac{2}{3x-2}$ Step 2. We can identify the quotient as $4x+3$ and the remainder as $r(x)=\frac{2}{3x-2}$
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