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 6.2 - Factoring Trinomials Whose Leading Coefficient is 1 - Exercise Set: 13

Answer

$(x-2)(x+5)$

Work Step by Step

The given expression, $ x^2+3x-10 ,$ has $c= -10 $ and $b= 3 .$ The possible factors of $c$ are $ \{ 1,-10 \} ,\{ 2,-5 \} ,\{ -1,10 \} ,\{ -2,5 \} $. Among these factors, the pair whose sum is equal to $b$ is $\{ -2,5 \}.$ Hence, the factored form is \begin{array}{l}\require{cancel} (x-2)(x+5) .\end{array}
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