On the Separation of All Roots of a Polynomial by Determing the Number of Roots inside the Unit Circle

In this paper authors relate a method for solving a polynomial using an automatic computer. This method is one which developed further Lehmer Method, finds the all roots of a polynomial by knowing follows. 1) When a given polunomial has no root on the unit circle, the number or roots inside it. 2) When a given polynomial has a root or roots on the unit circle, the argument of all roots on it.