Solving quintic polynomial equations using Graeffe's method (with computer program)

• Main Authors: Andres, Ethelrose Ann G., Pedro, Marason L.
• Format: text
• Language: English
• Published: Animo Repository 1992
• Subjects: Problem solving; Equations, Quintic; Polynomials; Graphic methods > Computer programs; Numerical analysis; Algorithms; Computer programs; Quintic equations
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16018
• Institution: De La Salle University

This paper presents an algorithm in finding the real roots of the general quintic polynomial equation. The algorithm uses the formula of Graeffe's Method. Likewise, it incorporates Descartes' Rule of Signs. Included in this paper is a computer program written in Turbo Pascal version 5.5. The program accepts quintic polynomial equations whose numerical coefficients are all real.In case a pair of imaginary roots occurs, only the real roots of that quintic equation will be shown. A graph is supplied to show the efficiency of the program.