Groups and FieldsChallengePolynomials over a Field SharePolynomials over a Field · Challenge problemOver Z3\mathbb Z_3Z3, x4+1x^4+1x4+1 has no root. Is it irreducible?AYes: it has no rootBNo: it is (x2+x+2)(x2+2x+2)(x^2+x+2)(x^2+2x+2)(x2+x+2)(x2+2x+2)CNo: it is (x2+1)2(x^2+1)^2(x2+1)2DYes: it is irreducible over Q\mathbb QQCheck Show answer Walk through it step by step Practice more like this Review this concept