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: 58

Answer

$-2,\pm i,1\pm\sqrt 3i$

Work Step by Step

$P(x)=x^3(x^2+1)+8(x^2+1)=(x^2+1)(x^3+8)=(x^2+1)(x+2)(x^2-2x+4)$ Zeros $-2,\pm i,1\pm\sqrt 3i$
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