Unified functional method for solving general polynomial equations of degree less than five / Dozie Felix Nwosu ...[et al.]

Nwosu, Dozie Felix and Okoli, Odilichukwu Christian and Ezeonyebuchi, Amaka and Tiruneh, Ababu Teklemariam (2021) Unified functional method for solving general polynomial equations of degree less than five / Dozie Felix Nwosu ...[et al.]. Malaysian Journal of Computing (MJoC), 6 (2): 10. pp. 924-937. ISSN 2600-8238

Abstract

A unified method for solving general polynomial equation of degree less than five that incorporate a computational formula that relate the coefficients of the depressed equation and the coefficient of the standard polynomial equation is proposed in this study. This is to ensure that this method is valid for all degree less than five. It shall apply the undetermined parameter method of auxiliary function to obtain solutions to these polynomial equations of degree less than five in one variable. In particular, the result of our work is a unification and improvement on the work of several authors in the sense that only applicable for the case of polynomial equation of degree one. Finally, our results improve and generalize the result by applying standard formula methods for solving higher degree polynomials. It is recommended that the effort should be made toward providing other variant methods that are simpler and friendly.

Metadata

Item Type: Article
Creators:
Creators
Email / ID Num.
Nwosu, Dozie Felix
fedocon2003@gmail.com
Okoli, Odilichukwu Christian
odico2003@yahoo.com
Ezeonyebuchi, Amaka
onyeamaka5@gmail.com
Tiruneh, Ababu Teklemariam
ababute@gmail.com
Subjects: Q Science > QA Mathematics
Journal or Publication Title: Malaysian Journal of Computing (MJoC)
UiTM Journal Collections: UiTM Journal > Malaysian Journal of Computing (MJoC)
ISSN: 2600-8238
Volume: 6
Number: 2
Page Range: pp. 924-937
Keywords: Auxiliary Function, Cubic Equation, Linear Equation, Quadratic Equation, Resolvent Equation, Seeking Solution
Date: October 2021
URI: https://ir.uitm.edu.my/id/eprint/61473
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