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 805: 50



Work Step by Step

The first term in the expression is $g^{2}$, so we know that there will be a $g$ in each set of parentheses. Next, you must figure out what two numbers multiply together to get $45$ (the third term), but also add up to -$18$ (the second term). The two numbers that fit into these parameters are -$15$ and -$3$. Therefore, one set of parentheses will contain $g-15$ and the other set of parentheses will contain $g-3$. So, the final answer is $(g-15)(g-3)$.
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