On partial fraction decompositions by repeated polynomial divisions

• Yiu-Kwong Man ^[1]
  1. [1] Education University of Hong Kong

     Education University of Hong Kong

     RAE de Hong Kong (China)

     
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 48, Nº. 5, 2017, págs. 802-808
• Idioma: inglés
• DOI: 10.1080/0020739x.2016.1276226
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• Resumen

  • We present a method for finding partial fraction decompositions of rational functions with linear or quadratic factors in the denominators by means of repeated polynomial divisions. This method does not involve differentiation or solving linear equations for obtaining the unknown partial fraction coefficients, which is very suitable for either hand or machine calculations. Some illustrative examples are provided.