In this problem we'll work in the field F = = {0, 1, a, b} (a) Opposites in F Find all x F such that 1+x=0: x = [This is the opposite -1 of 1 in F ] (b) Reciprocals in F4 Find all x F4 such that a. x = 1: x= 1 [This is the reciprical a = of a in F4] a