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: 36

Answer

$(g-5h)(g-7h)$

Work Step by Step

The first question to ask yourself is what two numbers multiply to 35 while adding to -12? -7 and -5 are the two numbers that satisfy this. We need a $g$$\times$$g$ to get $g^2$. Also, we need an $h$$\times$$h$ to get $h^2$. The $h^2$ is connected to the 35 so we know that one $h$ will be connected to the -7 and one $h$ will be connected to the -5. This set up will naturally form to get $-12gh$.
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