Answer
$$e^{5t}\left(t+1\right)\left(t+2\right)$$
Work Step by Step
Factoring the expression completely, we find:
$$ e^{5t}\left(t^2+3t+2\right) \\ e^{5t}\left(t+1\right)\left(t+2\right)$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 3 - Quadratic Functions - Exercises for Skills for Factoring - Page 135: 62
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