Vieta’s Formula about the Sum of Roots of Polynomials

In the article we formalized in the Mizar system [2] the Vieta formula about the sum of roots of a polynomial anxn + an−1xn−1 + ··· + a1x + a0 defined over an algebraically closed field. The formula says that x1+x2+⋯+xn−1+xn=−an−1an$x_1 + x_2 + \cdots + x_{n - 1} + x_n = - {{a_{n - 1} } \over {a_n...

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Bibliographic Details
Main Authors: Korniłowicz Artur, Pąk Karol
Format: Article
Language:English
Published: Sciendo 2017-07-01
Series:Formalized Mathematics
Subjects:
Online Access:https://doi.org/10.1515/forma-2017-0008