Algebra 2 Common Core

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

Chapter 4 - Quadratic Functions and Equations - 4-4 Factoring Quadratic Expressions - Practice and Problem-Solving Exercises - Page 221: 18

Answer

$(y+12)(y+3)$

Work Step by Step

Using the factoring of trinomials in the form $x^2+bx+c,$ the given $\text{ expression }$ \begin{align*} y^2+15y+36 \end{align*} has $c= 36 $ and $b= 15 .$ The two numbers with a product of $c$ and a sum of $b$ are $\left\{ 12,3 \right\}.$ Using these two numbers, the factored form of the $\text{ expression }$ above is \begin{align*} & (y+12)(y+3) \end{align*}
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