Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.3 - Factoring Trinomials Whose Leading Coefficient is Not 1 - Exercise Set - Page 443: 2


$ (3x+2)(x+1) $

Work Step by Step

Factoring by grouping: 1. Multiply the leading coefficient, a, and the constant, c. 2. Find the factors of ac whose sum is b. 3. Rewrite the middle term, bx, as a sum or difference using the factors from step 2. 4. Factor by grouping --- Always start by searching for a GCF.... none (other than 1). 1. $ac=6$ 2. sum = 5... factors: 2 and 3 3. $3x^{2}+5x+2=(3x^{2}+3x)+(2x+2)$ 4. ... $=3x(x+1)+2(x+1)$ $=(3x+2)(x+1)$ Check by FOIL$\qquad (3x+2)(x+1) $= $F:\quad 3x^{2}$ $O:\quad +3x$ $I:\quad +2x$ $L:\quad +2$ $ (3x+2)(x+1) $= $3x^{2}+5x+2$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.