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Archives  ·  Vol. 2, No. 1 (2013)

Investigating the Generalization of a Special Property of Cubic Polynomials to Higher Degree Polynomials

David Miller — West Virginia University

Abstract

The article discusses how to use Geogebra to illustrate the generalization of a special property of cubic polynomials. The generalization is discussed for fourth and fifth degree polynomials and illustrated with Geogebra. The article discusses the general formula, a n-2 degree polynomial, for finding the nth zero in terms of n-1 of the zeros of the nth degree polynomial.

Keywords: polynomials, zeros, algebraic poofs, tangent lines


Licensed under CC BY-NC-SA 4.0 · ISSN 2162-3856  ·  North American GeoGebra Journal