APPLICATION OF THE GORNER SCHEME TO MATHEMATICAL ANALYSIS

Abstract

In all the main literature, the Gorner scheme is given for the polynomial. Finding the roots of polynomials is very important. Because solving many mathematical problems leads to the question of studying the roots of a polynomial. Of course, the Gorner scheme is important in this. Making the quoted Gorner scheme appear simple for a square uchhad serves in solving many problems, proving theorem, lemma, properties, and results. Also, the information contained in it, conclusions, theoretical generalizations provide the opportunity to draw scientific and practical conclusions on the application of the Gorner scheme, generalization. This article presents the Gorner scheme for a square uchhad, using which the problems of decomposing into polynomials and simple fractions are solved. Moreover, when dividing a rational fraction by a simple fraction, it is seen that in mathematical analysis the rational fraction can be used with the aim of facilitating the calculation of indeterminate integrals in the representation.