Irreducibility criterion for certain trinomials

In this article we study the irreducibility of polynomials of the form x n + ε 1 x m + p k ε 2 , p being a prime number and k ≥ 2. We will show that they are irreducible for m = 1.We have also provided the cyclotomic factors and reducibility criterion for trinomials of the form x n + ε 1 x m + ε 2 , where ε i ∈ { -1, +1 }.This corrects few of the existing results of W. Ljuggren's on x n + ε 1 x m + ε 2 .