Relations Between Roots and Coefficients

  • Antonio Caminha Muniz Neto
Part of the Problem Books in Mathematics book series (PBM)


This chapter is devoted to the proof of some important relations between the coefficients of a polynomial and their complex roots; such results are generically known as the relations between roots and coefficients of a polynomial. We also discuss an important theorem of Newton on symmetric polynomials, which will reveal itself to be of central importance for the material of Chap.  20.


  1. 8.
    A. Caminha, An Excursion Through Elementary Mathematics I - Real Numbers and Functions (Springer, New York, 2017)Google Scholar
  2. 9.
    A. Caminha, An Excursion Through Elementary Mathematics II - Euclidean Geometry (Springer, New York, 2018)Google Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Antonio Caminha Muniz Neto
    • 1
  1. 1.Universidade Federal do CearáFortalezaBrazil

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