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Irreducible Polynomials

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?

Solution Preview

We can use the Eisenstein's Irreducibility Criterion.

Let p=2, then p is a prime. We ...

Solution Summary

Irreducible polynomials are investigated.