Frações parciais: métodos elementares e aplicações

Abstract

This research is limited to the study of partial fractions. The main objective of this work is to present the cases of decompositions and their methods of resolution, applying them to questions from competitions and entrance exams at primary, secondary and higher education levels. To do this, it was necessary to cover some elementary concepts such as fractions and their classifications, polynomials and their operations, proper and improper rational fractions and solving linear systems. Based on these definitions, three resolution methods were developed: The method equaling the coefficients which covers all cases of decomposition, the Heaviside method, and the Laplace transform. Keywords: Partial Fractions; Decomposition; Solving methods; Applications.

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