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: 22


quotient $5x^2+4x+11$ and remainder $r(x)=\frac{33}{x-2}$

Work Step by Step

Step 1. The coefficients of the dividend can be identified as $\{5,-6,3 11\}$ and the divisor as $x-2$; use synthetic division as shown in the figure to get the quotient and the remainder. Step 2. We can identify the result as $\frac{5x^3-6x^2+3x+11}{x-2}=5x^2+4x+11+\frac{33}{x-2}$ with the quotient as $5x^2+4x+11$ and the remainder as $r(x)=\frac{33}{x-2}$
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