A simple proof of a generalization of Eisenstein's irreducibility criterion

We present a simple proof of Königsberg's Criterion, [K] p.69 and also present families of irreducible polynomials over some fields. In particular, if (n, h) = 1, a_o….., a_n-1 ϵ Z = ring of integers and p is a primer not dividing a_o,  then f (x) = xⁿ - p^h(a_o+a₁+…+a_n-1X^n-1) is irredudible over the rationals. Also if k is any field, then [Formula Matemática].