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 - Page 979: 9

Answer

$$(x+4)(x+1)$$

Work Step by Step

Factor $$x^{2}+5x+4.$$ Find numbers that are factors of $4$ and sum to $5$: $$(4)(1)=4;\space 4+1=5.$$ The polynomial is a product of two binomials: $$x^{2}+5x+4=(x+4)(x+1).$$
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