A simple proof of the Fundamental Theorem of Algebra

TL;DR

This paper provides a straightforward proof of the Fundamental Theorem of Algebra that avoids complex analysis and minimal topology, making it suitable for introductory calculus courses.

Contribution

It introduces a simple, accessible proof of the theorem that can be taught at the first-year calculus level, simplifying traditional approaches.

Findings

Proof is simple and accessible for beginners

Avoids complex analysis and extensive topology

Suitable for teaching in introductory calculus courses

Abstract

We present a simple short proof of the Fundamental Theorem of Algebra, without complex analysis and with a minimal use of topology. It can be taught in a first year calculus class.