Zeros Of Polynomials

ABSTRACT

Given the polynomial P(X)=aflx +a,..1x 1 +a1x a0where n >4, there exist many methods of finding zeros of the polynomial These methods include Direct Methods: Graphical synthetic division, Homer's Graeffe's iterative t method: fixed point, scant bisection Bisection, Newton Raphson and false position method. However, our main focus in this study is restricted mainly on the iterative method of finding real roots of polynomials; Newton — Raphson method, Bisection and the method of false position were compared and it was discovered that Newton Raphson gave the best approximation we also discussed the requisite properties for some of the method.