Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 3 - Polynomial and Rational Functions - Section 3.2 The Real Zeros of a Polynomial Function - 3.2 Assess Your Understanding - Page 225: 106

Answer

$0,\frac{11}{4},6$.

Work Step by Step

Step 1. Use synthetic division or graphing to find zeros of $f(x)=4x^3-11x^2-26x+24$ as $x=-2,\frac{3}{4},4$, see graph. Step 2. As $f(x-2)$ can be obtained by shifting $f(x)$ 2 units to the right, the zeros for $f(x-2)$ are $x=0,\frac{11}{4},6$.
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