Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - 3.4 Polynomial Functions: Graphs, Applications, and Models - 3.4 Exercises - Page 351: 7

Answer

$f(x)=x(x+5)^2(x-3)$

Work Step by Step

Step 1. We can identify zeros as $x=-5,-5,0,3$ Step 2. We can factor the function as $f(x)=(x+5)(x+5)(x)(x-3)=x(x+5)^2(x-3)$
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