Vieta's formulas
In mathematics, Vieta's formulas relate the coefficients of a polynomial to sums and products of its roots. They are named after François Viète. Wikipedia
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In algebra, Vieta's formulas are a set of results that relate the coefficients of a polynomial to its roots. In particular, it states that the elementary ...
Vieta's formula relates the coefficients of polynomials to the sums and products of their roots, as well as the products of the roots taken in groups.
The theorem was proved by Viète (also known as Vieta, 1579) for positive roots only, and the general theorem was proved by Girard. This can be seen for a second ...