Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-5 Factoring x2+bx+c - Practice and Problem-Solving Exercises - Page 515: 14

Answer

$(y+5)(y+1)$

Work Step by Step

$6$ is positive, so we list positive factors of $5$. $\left[\begin{array}{lll} \text{Factors of 5 } & \text{Sum of factors} & \\ 1 \text{ and } 5 & 6 & \text{...is what we need} \end{array}\right]$ $y^{2}+6y+5=(y+5)(y+1)$ Check: $(y+5)(y+1)=$ ...use the FOIL method. $=y^{2}+y+5y+5$ ...add like terms. $=y^{2}+6y+5$
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