1) I did not really understand the proof of Eisentstein's criterion and why that woul dbe true... Is there a time when p^2 would divide the leading coefficient? Why are the so many less irreducible in R(x) and C(x), especially when we are dealing with irrational numbers?
2) It is cool to me to think that every polynomial in R(X) is reducible, except for first degree polynomials.
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