Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.4 - Factoring Trinomials - Exercise Set - Page 361: 44

Answer

$(x+8)(x+2)$

Work Step by Step

Use the hint. Substituting $(x+1)=u$, the trinomial becomes $u^{2}+8u+7=$ ... Searching for two factors of $+7$ whose sum is $+8,$ we find$\qquad+7$ and $+1.$ = $(u+7)(u+1)$ ... bring back x, $=(x+1+7)(x+1+1)$ = $(x+8)(x+2)$
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