# Thread: Irreducibility of polynomials help

1. ## Irreducibility of polynomials help

HI i need help for this question

prove that,for every positive integer n,there are infinitely many polynomials of degree n in Z[x] that are irreducible in Q.

thx

2. Originally Posted by math11
HI i need help for this question

prove that,for every positive integer n,there are infinitely many polynomials of degree n in Z[x] that are irreducible in Q.

thx
$x^n - p$ where $p$ is prime.