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An Algorithm for Partial-Fraction Expansion

Joseph W. Rogers, Margaret Anne Rogers

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Abstract

We Usually expand a rational function by first reducing it to the sum of a polynomial and a proper fraction that is the quotient of two polynomials in which the degree of the numerator is less than the degree of the denominator. We expand the fraction by writing it as a sum of partial fractions with undetermined numerator coefficients.

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What this paper is about

We Usually expand a rational function by first reducing it to the sum of a polynomial and a proper fraction that is the quotient of two polynomials in which the degree of the numerator is less than the degree of the denominator. We expand the fraction by writing it as a sum of partial fractions with undetermined numerator coefficients.

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Available abstract

We Usually expand a rational function by first reducing it to the sum of a polynomial and a proper fraction that is the quotient of two polynomials in which the degree of the numerator is less than the degree of the denominator. We expand the fraction by writing it as a sum of partial fractions with undetermined numerator coefficients.

Key concepts: Partial fraction decomposition, Fraction (chemistry), Continued fraction, Quotient, Mathematics, Degree (music), Rational function, Polynomial

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