2017-01-112016-12-09VOLPATO, P. G. O teorema de Marden e uma generalização. 2016. 52 f. Dissertação (Mestrado Profissional em em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2016.http://repositorio.bc.ufg.br/tede/handle/tede/6705The main objective of this work is to demonstrate Marden’s Theorem, which tells us that given a third-degree polynomial with complex coefficients, the roots of this polynomial are not collinear and form a triangle T in the complex plane. There is a unique ellipse inscribed in T and tangent to the sides at their midpoints. The foci of this ellipse are the roots of the derivative of the polynomial. We show that such an ellipse is Steiner’s Ellipse. We make a generalization of the Marden Theorem using degree n polynomial.application/pdfAcesso AbertoElipse de SteinerTeorema de MardenGeneralização do teorema de MardenPolinômios com coeficientes complexosSteiner’s ellipseMarden’s theoremGeneralization of Marden’s theoremPolynomials with complex coefficientsCIENCIAS EXATAS E DA TERRA::MATEMATICADissertação