An elementary algebraic proof of the fundamental theorem of algebra
Commutative Algebra
2025-02-20 v1 History and Overview
Number Theory
Abstract
We give a new proof of the fundamental theorem of algebra. It is entirely elementary, focused on using long division to its fullest extent. Further, the method quickly recovers a more general version of the theorem recently obtained by Joseph Shipman.
Cite
@article{arxiv.2502.13273,
title = {An elementary algebraic proof of the fundamental theorem of algebra},
author = {Katelyn S. Clark and Pace P. Nielsen},
journal= {arXiv preprint arXiv:2502.13273},
year = {2025}
}