Algebra 2 Common Core

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

Chapter 4 - Quadratic Functions and Equations - Mid-Chapter Quiz - Page 224: 12

Answer

$(y-1)(y-12)$

Work Step by Step

Using the factoring of trinomials in the form $x^2+bx+c,$ the given expression, $ y^2-13y+12 ,$ has $c= 12 $ and $b= -13 .$ The two numbers with a product of $c$ and a sum of $b$ are $\left\{ -1,-12 \right\}.$ Using these two numbers, the factored form of the expression above is \begin{align*} (y-1)(y-12) .\end{align*}
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