Groups and FieldsEasyPolynomials over a Field SharePolynomials over a Field · Easy problemIs x2+1x^2+1x2+1 irreducible over R\mathbb RR?ANo: it equals (x−i)(x+i)(x-i)(x+i)(x−i)(x+i)BNo: every polynomial factors over R\mathbb RRCYes, but only because its coefficients are integersDYes: it is a quadratic with no real rootCheck Show answer Walk through it step by step Practice more like this Review this concept