UNIFIED FUNCTIONAL METHOD FOR SOLVING GENERAL POLYNOMIAL EQUATIONS OF DEGREE LESS THAN FIVE
Dozie Felix Nwosu1*, Odilichukwu Christian Okoli2, Amaka Ezeonyebuchi3 and Ababu Teklemariam Tiruneh4
1*Department of Mathematics/Statistics, Federal Polytechnic Nekede, Owerri, Imo State, Nigeria
2,3Department of Mathematics, Chukwuemeka Odumegwu Ojukwu University, Anambra State, Nigeria
4Department of Environmental Health Science, University of Eswatini, Mbabane, Eswatini
1*This email address is being protected from spambots. You need JavaScript enabled to view it., 2This email address is being protected from spambots. You need JavaScript enabled to view it., 3This email address is being protected from spambots. You need JavaScript enabled to view it.,4This email address is being protected from spambots. You need JavaScript enabled to view it.
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.
Keywords: Auxiliary Function, Cubic Equation, Linear Equation, Quadratic Equation, Resolvent Equation, Seeking Solution.
Published On: 30 September 2021
