Consider the polynomial .

(a) Find all monic irreducible factors of over .

(b) Find all monic irreducible factors of over .

(c) Find all monic irreducible factors of over .

I'm really not sure what to do, I know that , so the the roots of p(x) are ±1 & (x+1) & (x-1) are two linear factors. Anyway the first question here asks for monic (degree 1) irreducible (so that it cannot be factorized as P(x)=a(x)b(x) where ) factors of p(x) over Q (rationals). Can anyone show me the method for solving one of them, so that I'll be able to try solving the rest of it on my own. Thanks.