A Single Criterion for Polynomial Symmetry

Authors

Peter A. Cermak, Christendom CollegeFollow

Abstract

We develop an understanding of the relationship between the symmetry of polynomial graphs and the calculus that underlies this symmetry. We arrive at a method to determine whether a single-variable polynomial with real coefficients has a symmetric graph. We then encode this method into a closed formula that is a necessary and sufficient condition for the polynomial to have symmetry.

Author Bio

Peter Cermak is a current undergraduate at Christendom College. He is a mathematics major who will graduate in May of 2021. His areas of interest include geometry and number theory, which he plans to study in graduate school. A Christendom College President's Scholar, and a member of the Honors Program, Mr. Cermak strives for academic excellence in all areas of study.

Faculty Sponsor

Douglas Dailey

Recommended Citation

Cermak, Peter A. (2022) "A Single Criterion for Polynomial Symmetry," Rose-Hulman Undergraduate Mathematics Journal: Vol. 23: Iss. 1, Article 5.
Available at: https://scholar.rose-hulman.edu/rhumj/vol23/iss1/5