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Groups and FieldsMediumPolynomials over a Field

Polynomials over a Field · Medium problem

How many of these satisfy Eisenstein's criterion for some prime: x2+2x+2x^2+2x+2, x2+4x+4x^2+4x+4, x2+6x+3x^2+6x+3, x3+9x+3x^3+9x+3?