• PART I: NEW APPROACH TO THE CONCEPTS OF ROOTS AND VERTEX POINTS OF POLYNOMIALS

Abstract

When I learned high school the way how to determine the vertex point of second degree polynomial, I asked my teacher why not possible to determine the vertex points of polynomials for degree he addressed me the concepts of derivatives in calculus. But through time, after I have learned the concepts of polynomials so that I addressed the problem. The aim of this paper is, in general to address elementary polynomials optimization for , without considered the concepts and application of calculus, so we can handle none linear polynomials optimization through constructing vertices differentiation polynomials and the concepts of polynomials.