Groups and FieldsHardPolynomials over a Field SharePolynomials over a Field · Hard problemIs x3−3x+1x^3-3x+1x3−3x+1 irreducible over Q\mathbb QQ?AYes: it has no rational rootBNo: x=1x=1x=1 is a rootCNo: it has three real rootsDYes, by Eisenstein with p=3p=3p=3Check Show answer Walk through it step by step Practice more like this Review this concept