##  [Vieta's Formulae](/vietas-formulae) 

  ##  [Vieta's Formulae](https://algebra.quantumdictionary.io/vietas-formulae-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Algebraic identities linking the coefficients of a polynomial to the elementary symmetric functions of its roots; for a monic polynomial these give exact equalities between signed sums and products of the roots and the polynomial's coefficients.