Groups and FieldsChallengeField Extensions ShareField Extensions · Challenge problemHow many elements of F4=Z2[x]/(x2+x+1)\mathbb F_4=\mathbb Z_2[x]/(x^2+x+1)F4=Z2[x]/(x2+x+1) are NOT in its subfield Z2\mathbb Z_2Z2?Check Show answer Walk through it step by step Practice more like this Review this concept