Verify if the following polynomials are irreducible over Q. p1(x)=x^3-4x^2+3 p2(x)=x^3+4x^2+3 p3(x)=12x^4+5x^3-10x^2+25x+10 p4(x)=12x^4+8x^3+9x^2+4x+4 I use Eisenstein's criterion to verify if the polynomials are irreversibles. My conclusion is: p1(x) Not irreversible p2(x) Irreversible p3(x) Not irreversible p4(x) Not irreversible Is it correct?

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