Explorando o teorema fundamental da álgebra: aplicações e estratégias para o ensino médio

Abstract

In this work, we will explore the Fundamental Theorem of Algebra and how an intuitive approach to its proof can be applied in the context of High School. The objective is to offer educators guidance that allows them to present, in a didactic and engaging way, this theorem of great mathematical relevance to students. First, we will present a complete formal algebraic proof, highlighting the essential concepts and steps for understanding it. Next, we will show an intuitive version of the demonstration, adapted to a more accessible level for high school students, using pedagogical strategies that promote understanding and engagement. In this way, we intend to contribute to the improvement of mathematics teaching, providing educators with effective tools to transmit advanced concepts in a clear and motivating way.