Elementary Algebra

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

Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.3 - Factoring Trinomials of the Form x^2+bx+x - Problem Set 6.3 - Page 255: 2

Answer

$(x+2)(x+7)$

Work Step by Step

The following pairs of numbers give a product of $ 14 :$ \begin{array}{l}\require{cancel} \{ 1,14 \} \text{ } \{ 2,7 \} .\end{array} Of these pairs, the pair $\{ 2,7 \}$ gives a sum of $ 9 .$ Hence, the factored form of the given expression, $ x^2+9x+14 $ is \begin{array}{l}\require{cancel} (x+2)(x+7) .\end{array}
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