Answer
$$(z+4)(z+5)$$
Work Step by Step
Consider all the possible pairs of factors of $20$. Then select the pair that sum to $9$:
$$4\times 5 = 20$$
$$4+5=9$$
$$z^2+9z+20=(z+4)(z+5)$$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter R - Algebra Reference - R.2 Factoring - R.2 Exercises - Page R-8: 7
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