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

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.