Abstarct: In this thesis , we studied on number of unimodular roots of complex trinomial p(z)= z^n+z^k-1 and expressed the necessary and sufficient conditions for the existence of unimodular roots. In the following we studied the existence of unimodular roots and their number for skewsymmetric Littlewood polynomials and self-reciprocal Littlewood polynomials.The final chapter deals with determined an annulus containing all of the roots non-constant complex polynomial by using Fibonacci numbers and Pell numbers for bounds.