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Quartic Polynomials and the Golden Ratio

by Harald Totland (Royal Norwegian Naval Academy Bergen Norway)

This article originally appeared in:
Mathematics Magazine
June, 2009

Subject classification(s): Calculus | Advanced Calculus
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis

The author investigates the graph of a quartic polynomial with inflection points and finds many regularities, some involving the Golden Ratio.

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