Locus of Critical Points for Some Polynomial
Haotian Xie — Sichuan University
Zheng Yang — Sichuan University
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pp. 58–65
Abstract
Given a polynomial with complex coefficients, the celebrated Gauss-Lucas's theorem and Marden's theorem offer us insights into the geometry of the locus of its critical points. In the following paper, the authors explore the geometry under certain restrictions of the roots of the polynomials. In particular, the authors identify some regions where all critical points do not occur.
Keywords: GeoGebra
Licensed under CC BY-NC-SA 4.0 · ISSN 2162-3856 · North American GeoGebra Journal