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 224: 64


$x=1$ (multiplicity 2).

Work Step by Step

Step 1. For $x^4-2x^3+10x^2-18x+9=0$, list possible rational real zeros $\frac{p}{q}: \pm1,\pm2,\pm3,\pm9$ Step 2. Use synthetic division as shown in the figure to find zero(s) $x=1$ (multiplicity 2). Step 3. Use the quotient to find other zeros: $x^2+9=0$, no real solutions.
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