Answer
5
Work Step by Step
Since there are five zeros and four local extrema of the function,
the smallest possible degree is 5. If the order is less than 5,
the function will cross the x-axis less times with less extrema.
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 3 - Section 3.2 - Polynomial Functions and Their Graphs - 3.2 Exercises - Page 268: 85
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