(Eisentein's Criterion) Let f(x)=anxn+⋯+a1x+a0 be a nonconstant polynomial with integer coefficients. If there is a prime p such that p divides each of a0, a1, ⋯,an−1 but p does not divide an and p2 does not divide a0, then f(x) is irreducible in Q[x]. algebrapolynomialinductionPolynomials