Given:f(x) = x4 − x3 − 30x2.(a) find real zeros of the polynomial function, (b) determine whether the multiplicity of zero is even or odd, (c) determine the maximum possible number of turning points of the graph of the function, and (d) use a graphing utility to graph the function and verify your answer.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.2: Polynomial Functions Of Higher Degree
Problem 3ECP
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Given:f(x) = x4 − x3 − 30x2.(a) find real zeros of the polynomial function, (b) determine whether the multiplicity of zero is even or odd, (c) determine the maximum possible number of turning points of the graph of the function, and (d) use a graphing utility to graph the function and verify your answer.

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