Sibling curves of polynomials

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.

Keywords: Polynomials, Fundamental Theorem of Algebra, sibling curves, visualizing roots.