Location of zeros of polynomials

In this paper, we obtain a result concerning the location of zeros of a polynomial p ( z ) = a 0 + a 1 z + a 2 z 2 + ⋯ + a n z n , where a i ’s are complex coefficients and z is a complex variable. This result sharpens Cauchy’s result, along with some of the other known results which were based on the classical Cauchy’s work. Moreover, a MATLAB code is developed to construct polynomials, and compare the bounds obtained by our result with these known results.