A simple proof of the Fundamental Theorem of Algebra

TL;DR

This paper presents a novel, simple proof of the Fundamental Theorem of Algebra that differs from traditional methods based on complex analysis.

Contribution

It introduces a new proof technique for the Fundamental Theorem of Algebra, distinct from existing analytic function-based proofs.

Findings

Provides a simpler proof of the theorem

Highlights differences from traditional proofs

Potentially broadens understanding of algebraic fundamentals

Abstract

Many proofs of the Fundamental Theorem of Algebra, including various proofs based on the theory of analytic functions of a complex variable, are known. To the best of our knowledge, this proof is different from the existing ones.