Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Skills Handbook - Factoring and Operations with Polynomials - Exercises: 11

Answer

$$(y+8)(y-3)$$

Work Step by Step

Factor $$y^{2}+5y-24.$$ Find numbers that are factors of $-24$ and sum to $5$: $$(8)(-3)=-24;\space 8-3=5.$$ The polynomial is a product of two binomials: $$y^{2}+5y-24=(y+8)(y-3).$$
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