Hi, this was a problem on an exam, and I wasn't sure how to do it.
The problem is as follows:
Let , where is prime. Show that is irreducible in .
I'm lost on this one. I feel like I should assume that it's reducible, which implies that can be factored into irreducibles of lesser degree, but somehow there aren't any products of irreducibles that give us . Unfortunately, I don't know how to show the "somehow" part
Hope someone can help! Thanks!