Precalculus (6th Edition) Blitzer

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

Chapter 4 - Section 4.6 - Graphs of Other Trigonometric Functions - Exercise Set - Page 612: 99


$\{-\frac{1}{2}, 1, 2 \}$

Work Step by Step

Step 1. List all possible rational zeros: $\frac{p}{q}=\pm1,\pm2,\pm\frac{1}{2}$ Step 2. Use synthetic division as shown in the figure to get a zero at $x=1$ and the function as $f(x)=(x-1)(2x^2-3x-2)=(x-1)(x-2)(2x+1)$ Step 3. The zeros are $\{-\frac{1}{2}, 1, 2 \}$
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