Answer
$2x+5$
Work Step by Step
Let the length of the missing side be $y$. Then our equation is: $y(x+2)(x+4)=2x^3+17x^2+46x+40\\y(x^2+6x+8)=2x^3+17x^2+46x+40\\y=2x+5$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 5 Polynomials and Polynomial Functions - 5.5 Apply the Remainder and Factor Theorems - 5.5 Exercises - Skill Practice - Page 356: 36
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