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: 63

Answer

$1,\pm3i$

Work Step by Step

1. List possible rational zeros $\pm1,\pm3,\pm9$ 2. Test these values and do not forget about multiplicity (m). 3. We find a zero $1$ with $m=3$ as shown. 4. $P=(x-1)^3(x^2+9)$ 5. Zeros $1,\pm3i$
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