Polinômio Interpolador de Lagrange: uma proposta para a melhoria do processo de ensino-aprendizagem de funções polinomiais e polinômios na Educação Básica

Abstract

Nowadays, the teaching of polynomial functions and polynomials is introduced with problems related to areas and perimeters of flat figures, volumes of geometric solids and the mention of some applications in other sciences, without showing the polynomial function used there. For a historical contextualization, the work is developed from the study of the improvement of Algebra throughout the societies. Then we will present the concepts of Polynomial in Rings and Fields, with some propositions, and the determinants, their properties, and the matrix of Vandermonde and its determinant. Promptly, we will talk about Interpolation, highlighting the polynomial interpolation. Finally, we present the panorama of Mathematics in Brazil and the proposal to use the Lagrange Interpolator Polynomial in the teaching of polynomial functions and the polynomials in basic education.