Physics homework help. Help with parts b,c,d please Let F = C(t) and let L = F(?), where ? has minimal polynomial g = x3 ? tx2 + (t ? 3)x + 1. (a) Show that t = ? 3?3?+1 ?2?? and conclude that L = C(?). (b) Show that we can define a field automorphism ? : L ? L by setting ?(?) = 1/(1 ? ?). (c) Show that ? ? Gal(L/F). (d) Show that L/F is Galois and that Gal(L/F) is the cyclic group of order 3.