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: 68

Answer

$3i, -3i, i\sqrt6, -i\sqrt6$

Work Step by Step

This question asks for ALL zeros of the function Given $P(x) = x^4 + 15x^2 + 54$ Factor and set $P(x) = 0$ $(x^2 + 6) (x^2 + 9)$ $x^2 + 9 = 0$ $x = +/- 3i$ $x^2 + 6 = 0$ $x = +/- i\sqrt6$ $x = 3i, -3i, i\sqrt6, -i\sqrt6$ Thus the solutions are $3i, -3i, i\sqrt6, -i\sqrt6$
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