Answer
$$z=0,\:z=-\sqrt{21},\:z=\sqrt{21}$$
Work Step by Step
Solving the equation by factoring and setting the factors equal to zero, we find:
$$4z^3\left(z+\sqrt{21}\right)\left(z-\sqrt{21}\right)=0 \\ z=0,\:z=-\sqrt{21},\:z=\sqrt{21}$$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 5 Polynomials and Polynomial Functions - 5.4 Factor and Solve Polynomial Equations - 5.4 Exercises - Skill Practice - Page 357: 37
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