Answer
$z=-5,8$
Work Step by Step
Solve the equation: $z^{2} - 3z - 40 = 0$
$z^2+5z-8z-40=0$
$z(z+5)+[(-8)(z+5)]=0$
$(z+5)(z-8)=0$
Because of the Zero Product Property, $(z+5)=0$ and $(z-8)=0$ are both true. Therefore:
$z=-5,8$
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 4 Quadratic Functions and Factoring - 4.4 Solve ax(squared) + bx + c = 0 by Factoring - 4.4 Exercises - Quiz for Lessons 4-1-4.4 - Page 265: 9
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