Let f, denote the field z/ pl, where p is a prime. let f, [x be the associated polynomial ring. which of the following quotient rings are fields ? (a) f[]/x+x+1

Let F, denote the field Z/ pl, where p is a prime. Let F, [x be the associated polynomial ring. Which of the following quotient rings are fields ? (a) F[]/x+x+1} (b) F[x]/{*+ +x+1} (c) Fx]/{x +x+1}