Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 3 - Review - Exercises - Page 321: 65

Answer

$\pm2,1\pm\sqrt 3i, -1\pm\sqrt 3i$ each zero has a multiplicity of 1.

Work Step by Step

$P(x)=x^6-8^2=(x^3+8)(x^3-8)=(x+2)(x^2-2x+4)(x-2)(x^2+2x+4)$ 6 zeros can be found as $\pm2,1\pm\sqrt 3i, -1\pm\sqrt 3i$ each zero has a multiplicity of 1.
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