Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 5 Polynomials and Polynomial Functions - 5.7 Apply the Fundamental Theorem of Algebra - 5.7 Exercises - Skill Practice - Page 384: 14

Answer

$x=\pm4i$ or $x=\pm1$

Work Step by Step

$x^4+15x^2-16=(x^2+16)(x^2-1)$ Thus $x^2-1=0\\x^2=1\\x=\pm1$ or $x^2+16=0\\x^2=-16\\x=\pm4i$
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