Method for Solving Polynomial Equations

Abstract

The purpose of my paper is to bring a method for solving polynomial equations using basic algebra and series and also using combinatorics. A series which converges to the solutions of polynomial equations. The contribution of this method is that it leads directly to precise results to find the roots of a polynomial equation of any degree starting from second degree to infinity and also for the solving of radicals since radicals are a particular type of polynomial equations for example to find the square root of 2 sends to solve the equation x2=2. A general formula for the series which converges to the solutions of polynomial equations. For complex solutions we write for a polynomial P(x), P(a+bi)=P(a-bi)=0 and to solve this separately for imaginary part and real part of the solution sends to solve for regular polynomial equations at one variable so we can use the method which is developed to find the solutions.