Geometry of a Family of Quartic Polynomials
- Christopher Frayer (University of Wisconsin - Platteville)
- Lukas Smith (University of Wisconsin - Platteville)
Abstract
For a fixed $\mathcal{A} \in \mathbb{C}$ with $|\mathcal{A}|=1$, this paper characterizes critical points of polynomials of the form $p(z)=(z-1)(z-\mathcal{A})(z-r_1)(z-r_2)$ with $|r_1|=|r_2|=1$.
Keywords: Geometry of Polynomials, critical points, Gauss-Lucas Theorem
How to Cite:
Frayer, C. & Smith, L., (2021) “Geometry of a Family of Quartic Polynomials”, North Carolina Journal of Mathematics and Statistics 7(1).
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