Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.3 - Factoring Trinomials of the Form ax2+bx+c - Exercise Set - Page 437: 99

Answer

The first step is to factor out any common factors. The next step is to find the factors of the value of $a$. After that, look at the coefficients of $a$, $b$, and $c$. Then, find factors of $c$ (while keeping the signs of the coefficients in mind). After this, try possible combinations of these factors as second terms of the binomials until the middle term matches.

Work Step by Step

Finding the factors of $a$ can provide possible values for the first terms of the factored form. If all of the coefficients are positive, then only positive numbers are used for $a$, $b$, and $c$.
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