Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.5 - Complex Zeros and the Fundamental Theorem of Algebra - 3.5 Exercises - Page 294: 62

Answer

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

Work Step by Step

1. List possible rational zeros as $\pm1,\pm1/2,\pm1/4$ 2. Test these values using synthetic division to find two zeros $-1/2,1$ 3. $P=(2x+1)(x-1)(2x^2+2x+1)$ 4. Zeros $-\frac{1}{2},1,\frac{-1\pm i}{2}$
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