Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.4 - Factoring Trinomials of the Form ax^2+bx+c - Problem Set 6.4: 1

Answer

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

Work Step by Step

In accordance with the rules of factoring trinomials, we need two integers whose product is 6 and whose sum is 7. These numbers are 1 and 6. Using this information, we factor the trinomial: $3x^{2}+7x+2$ =$3x^{2}+1x+6x+2$ =$x(3x+1)+2(3x+1)$ =$(3x+1)(x+2)$
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