A Systematic Approach to the Exact Roots of Polynomials
Authors:
Serdar Beji
Affiliation:
(1) Faculty of Naval Architecture and Ocean Engineering, Istanbul Technical University, Maslak, 34469 Istanbul, Turkey
Abstract:
A unified framework is introduced for obtaining the exact roots of a polynomial by establishing a corresponding polynomial of one degree less. The approach gives the well-known solutions for the second and third degree polynomials and a new solution for the quartic equation, which is different in form from the classical Ferrari-Cardan solution. In accord with Abel’s proof, the method produces no solution for the quintic equation.