Show that a cubic

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.4: Zeros Of Polynomial Functions
Problem 7ECP: Find the quartic (fourth-degree) polynomial function f with real coefficients that has 1,2and2i, as...
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Show that a cubic function (a third-degree polynomial) always has exactly one point of inflection. If its graph has three x-intercepts x1, x2 and x3, show that the x-coordinate of the inflection point is (x1+x2+x3)/3.

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