Alguns teoremas sobre Polinômios

• Autor(a) principal: Coelho Junior, Odair Américo
• Data de Publicação: 2021
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Repositório Institucional da UFU
• Texto Completo: https://repositorio.ufu.br/handle/123456789/33904; http://doi.org/10.14393/ufu.di.2021.613
• topic: Polinômios; Polynomials; Desigualdade das Médias; Inequality of Means; Raízes de um Polinômio; Roots of a Polynomial; Gráfico de um polinômio; Graph of a Polynomial; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA; Matemática; Polinômios - Estudo ensino; Educação básica

In this dissertation we present three theorems to motivate and help the learning of polynomials in Basic Education. The first theorem presents an interval where they are contained as roots of a polynomial. Another theorem presents an inequality that relates the areas of the tangential triangle and the tangential rectangle to the area under the curve of the polynomial. And by, we show a theorem that given four polynomials that have 0 as one of their roots, we have 24 possible configurations of their graphs for x near the origin, but two such permutations are impossible to obtain. Our purpose of this dissertation is that these results served as a contribution to help in the teaching of polynomials in basic education.