Open Science Repository Mathematics

doi: 10.7392/openaccess.23050424


A Calculator for Polynomial Equations of Degree Five and Above


Samuel Bonaya Buya

Ngao, Kenya


Abstract

I present a method that can be used to solve fifth polynomial equations and above. I will propose a general factorization process that will enable the make it possible to reduce a fifth polynomial expression to solvable linear and quartic factors. Quartic equations were first solved by Lodovico Ferari and today they are solvable through many methods presented in various texts.

Keywords: degree five polynomial equations, Abel-Ruffini theorem, Galois Theory, splitting field.



Citation: Buya, S. B. (2013). A Calculator for Polynomial Equations of Degree Five and Above. Open Science Repository Mathematics, Online(open-access), e23050424. doi:10.7392/openaccess.23050424

Received: September 18, 2013

Published: September 26, 2013

Copyright: © 2013 Buya, S. B. Creative Commons Attribution 3.0 Unported License.

Contact: research@open-science-repository.com



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Cite this paper

APA

Buya, S. B. (2013). A Calculator for Polynomial Equations of Degree Five and Above. Open Science Repository Mathematics, Online(open-access), e23050424. doi:10.7392/openaccess.23050424

MLA

Buya, Samuel Bonaya. “A Calculator for Polynomial Equations of Degree Five and Above.” Open Science Repository Mathematics Online.open-access (2013): e23050424.

Chicago

Buya, Samuel Bonaya. “A Calculator for Polynomial Equations of Degree Five and Above.” Open Science Repository Mathematics Online, no. open-access (September 26, 2013): e23050424. doi:10.7392/openaccess.23050424.

Harvard

Buya, S.B., 2013. A Calculator for Polynomial Equations of Degree Five and Above. Open Science Repository Mathematics, Online(open-access), p.e23050424.

Science

1. S. B. Buya, A Calculator for Polynomial Equations of Degree Five and Above, Open Science Repository Mathematics Online, e23050424 (2013).

Nature

1. Buya, S. B. A Calculator for Polynomial Equations of Degree Five and Above. Open Science Repository Mathematics Online, e23050424 (2013).


doi

Research registered in the DOI resolution system as: 10.7392/openaccess.23050424.




Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 Unported License.