O método de Cardano e sua aplicação no ensino médio

Imagem de Miniatura



Título da Revista

ISSN da Revista

Título de Volume


Universidade Federal de Goiás


This work presents a study on the Cardano's method applied in 3rd degree polynomial equations of the form x3 + px + q = 0; p; q 2 R and use in the classroom, the 3rd year of high school, working with the procedure without the use of formula to determine a root of 3rd degree polynomial equation. The application of this method searches enable to students a relevant intellectual enrichment for future studies of the exact sciences. In this work not used a diagnostic evaluation to analyse the level of understanding of theme, only search to apply the procedure used by Cardano, in the classroom, and especially present a demonstration of this procedure to an equation in the general form of the 3rd degree. The study brings a historical approach of the resolutions of the equations, after, a theoretical foundation for the study of polynomials, detaching the theorems main, propositions and key de nitions for the study of the polynomial functions. Moreover, detach the study of the characteristics of the roots of an equation of the 3rd degree of analytical and graphical form, where we present an analytical resolution for the 4th degree equations. However, we conclude that the application of this study demonstrates that students have greater facility to nd a root of an equation in the general form, as well as the other roots. Therefore, the procedure used in classroom presents a method to nd at least one root of an equation of the 3rd degree, without the use of formula. Keywords



Equações polinomiais, Polinômios e característica das raízes, Polynomial equations, Polynomial and characteristic roots


MELO, Claudio Umberto de. O método de Cardano e sua aplicação no ensino médio. 2014. 75 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Catalão, 2014.