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International Journal of Mathematical Education in Science and Technology Volume 48, 2017 - Issue 5
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On partial fraction decompositions by repeated polynomial divisions

Yiu-Kwong ManDepartment of Mathematics and Information Technology, The Education University of Hong Kong, New Territories, Hong KongCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0003-3987-9676View further author information
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Pages 802-808 | Received 18 Jul 2016, Published online: 01 Feb 2017
 
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ABSTRACT

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.

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Acknowledgments

This work was supported by the Additional Research Funds of EdUHK. The author is very grateful to the reviewers’ valuable comments to me.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the Individual Research Fund [grant number MIT2015-0004-R6310] of EdUHK.

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