## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 6 - Section 6.2 - Factoring Trinomials Whose Leading Coefficient is 1 - Exercise Set - Page 436: 1

#### Answer

$(x+1)(x+6)$

#### Work Step by Step

The given expression, $x^2+7x+6 ,$ has $c= 6$ and $b= 7 .$ The possible factors of $c$ are $\{ 1,6 \} ,\{ -1,-6 \} ,\{ 2,3 \} ,\{ -2,-3 \}$. The factors whose sum is equal to $b$ are $\{ 1,6 \}.$ Hence, the factored form is \begin{array}{l}\require{cancel} (x+1)(x+6) .\end{array}

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