A Tutorial Excerpt on the Graeffe’s Roots-Finding Numerical Scheme Derivation and Application for the Solution of Third Degree Polynomial of the form, f(x) = 0

Abstract

The research is concerned with the presentation of a  tutorial extract on the Graeffe’s Root-finding scheme derivation and application for the solution of third degree Polynomial of the form, f(x) = 0. Thereafter, we tested the efficiency of our proposed scheme by applying it to a range of Third Degree polynomial problems in literature reviewed. The outcome of the comparison of the roots generated by the Graeffe’s root-finding scheme to their respective exact solution showed that the scheme gave a better approximation to the exact solution at every fourth iteration. Thus, the proposed scheme in this research can be said to be another better suitable numerical approach for the solution of third degree polynomial that their exact solutions are difficult to arrive at. The procedures for the scheme derivation can be easily followed for the solution of other higher degree auxiliary equations.