Abstract
Abstract Starting from n roots of a univariate polynomial of n-th degree, combining the first, the second, and up to the n-th class, new polynomials are generated. Each class of polynomials obtained in such a way is fully determined by its roots. The arithmetic means of corresponding coefficients are proportional to the values of the coefficients obtained by the derivation of the initial univariate polynomial. This gives the basis for the algebraic approach to the polynomial derivation.
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