Calculus with Applications (10th Edition)

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

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 $9$: $$4\times 5 = 20$$ $$4+5=9$$ $$z^2+9z+20=(z+4)(z+5)$$
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