The theorem of Eneström -Kakeya is important within the hypothesis of dissemination of zeros of polynomials. In the literature, it can be found so many extensions on Eneström-Kakeya theorem by giving various relations between the coefficients of polynomial like increasing, decreasing, irregular order etc. This paper mainly deals with some extensions on the Abdul Aziz and B. A. Zargar theorem by giving some relaxations to the hypothesis that the coefficients are real, positive and alternative coefficients must be in increasing order.