In this final project, we discuss the derivation of an optimal iterative method using a quadratic polynomial, which is a review and a correction of a part of Fern´andez-Torres and V´asquez-Aquino’s article [Advances in Numerical Ana- lysis, 10: 1-8, 2013]. Analytically we show that the obtained method has an order of convergence four and requires three function evaluations per iteration…