Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - 3.3 Zeros of Polynomial Functions - 3.3 Exercises - Page 338: 109

Answer

$\{\pm i,\pm i \}$

Work Step by Step

Step 1. Let $u=x^2$, we need to solve $u^2+2u+1=0$ or $(u+1)^2=0$ which gives $u=-1$ (multiplicity 2) Step 2. For $u=-1$, we have $x^2=-1$ thus $x=\pm i$ Step 3. The zeros are $\{\pm i,\pm i \}$
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