DOI LINK: https://doi.org/10.59671/wnZKD

Paper ID:wnZKD

Volume:48

Issue:9

Title:Investigation of Rules for Decomposition of the Polynomial of the Form (N(p))/(D(p)) into Partial Fractions.

Abstract:An investigation of the decomposition of the polynomial of the form (N(p))/(D(p)) into partial fractions is conducted in this article. Two approaches to the decomposition of the fraction are outlined, to enhance the teaching of the concept to students. Many Calculus textbooks give common rules for the decomposition of (N(p))/(D(p)) into Partial Fractions. The rule that if the denominator D(p)=〖(p〗^2-a^2)(bp^2+cp+d), for bp^2+cp+d an irreducible quadratic expression, and that the degree of the numerator N is less than that of the denominator D, that is, deg⁡(N)

Keywords:partial fractions, decomposition, polynomial, investigation

Authors:Dr RK Mahlobo, Prof RS Lebelo

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