Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-5 Factoring X(squared) + bx + c - Practice and Problem-Solving Exercises - Page 504: 38



Work Step by Step

The first question to ask yourself is what two numbers multiply to -18 while adding to 3? 6 and -3 are the two numbers that satisfy this. We need a $x$$\times$$x$ to get $x^2$. Also, we need an $y$$\times$$y$ to get $y^2$. The $y^2$ is connected to the -18 so we know that one $y$ will be connected to the 6 and one $y$ will be connected to the -3. This setup will naturally form to get $3xy$.
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