Estimates for the Roots of Polynomials Without Complex Analysis

  •  Ismaila Diouf    


In our precedence paper (Diouf, Diakhate, \& Watt, 2013), we show the continuity of the zeros of a univariate polynomial which respect to the coefficients. Here we study the sizes of a polynomial and their bounds. The main originality of this paper is maybe a definition of the measure of a polynomial without any reference to the roots, this leads to a very elementary proof of bounds for the factors of polynomials, a subject which is also revisited here. Most of our proofs are extremely simple and all are quite elementary.

This work is licensed under a Creative Commons Attribution 4.0 License.