1.) For p = 3, find the number of monic irreducible polynomials in Zp[x] of the following degrees

(a) 5

(b) 9

(c) 10

2.) Repeat Exercise 1 for a general prime p. Your answers will be formulas in p.

Can anybody help me out, at least with part 1!? There must be any easier way than writing them all out.