Factorization of Locus Polynomials Using DGS

Abstract

By investigation of locus equations we sometimes encounter problems with factorization of resulting polynomials. Commands on factorization of polynomials over the field of rational numbers are implemented in most mathematical software usually by the command factor. We can also use commands on factorization of polynomials over some extension of the field of rational numbers, for instance command AFactor in Maple. Factorization over real or complex numbers is much more difficult. In two examples we will show how to make factorization using dynamic geometry systems in such cases when related commands fail.