Operations with scalar polynomials and their computer realization

In this paper algorithms realizing some operations with scalar polynomials in one and two variables and their computer realization are suggested. The following operations are considered: 1) the computation of the GCD for given scalar polynomials and factorization of each polynomial into the product of two factors: the first factor is the GCD, the second is formed of relativily prime polynomials; 2) the division of polynomials by their common divisor; 3) the decomposition of polynomials in two variables polynomial into irreducible factors; 4) the computation of the LCM for given scalar polynomials. Bibliography: 5 titles.