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: 64

Answer

$3, -3, -3i, 3i$

Work Step by Step

This question asks for ALL zeros of the function Given $P(x) = x^4 - 81$ Factor and set $P(x) = 0$ $(x^2 - 9) (x^2 + 9)$ $(x-3)(x+3)(x^2 + 9)$ $x^2 + 9 = 0$ $x = +/- 3i$ $x = 3, -3, -3i, 3i$ Thus the solutions are $3, -3, -3i, 3i$
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