# Relations Between Roots and Coefficients

Chapter

First Online:

## Abstract

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.

## References

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

## Copyright information

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