Article

Sibling Curves of Polynomials

Published in: Quaestiones Mathematicae
Volume 38 , issue 6 , 2015 , pages: 759–769

DOI: 10.2989/16073606.2014.981727

Author(s): H. Wiggins Department of Mathematics and Applied Mathematics, South Africa , A. Harding Department of Mathematics and Applied Mathematics, South Africa , J. Engelbrecht Department of Science, Mathematics and Technology Education, South Africa , W. Fouche Department of Quantitive Management, South Africa

Keywords: Primary 12D10 , Secondary 30A99 , Primary 12D10 , Secondary 30A99

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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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