Let f(x) = x^4 − 8x^3 + 12x^2 − 6x + 2. Show that f(x) is irreducible over
the field of rational numbers.
I know that it can't be factored... but how do I show its irreducible?
We can use the Eisenstein's Irreducibility Criterion.
Let p=2, then p is a prime. We ...
Irreducible polynomials are investigated.