Article

Sibling Curves of Polynomials

Published in: Quaestiones Mathematicae
Volume 38 , issue 6, pages: 759–769
DOI: 10.2989/16073606.2014.981727
Author(s): H. WigginsDepartment of Mathematics and Applied Mathematics, South Africa, A. HardingDepartment of Mathematics and Applied Mathematics, South Africa, J. EngelbrechtDepartment of Science, Mathematics and Technology Education, South Africa, W. FoucheDepartment of Quantitive Management, South Africa,

Abstract

Sibling curves were demonstrated in papers [2, 3] as a novel way to visualize the zeros of complex valued functions. In this paper, we continue the work done in those papers by focusing solely on polynomials. We proceed to prove that the number of sibling curves of a polynomial is the degree of the polynomial.

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