Finally, it's important to work out at least one example with fields of characteristic > 0. This time, consider the polynomial () = 2 + 1 3[]. (1) First, verify that () is irreducible over 3. (2) Second, if we call one of the zeros of (), verify that 2 is its other zero. Further- more, verify that () = 2 2, and if we call 2 one of its zeros, then 22 is its other zero. Conclude that = 2. (3) Third, let = { + | , 3} = { + 2 | , 3}. You may assume that is a field, so instead, count the number of elements in . (4) Finally, show that the evaluation homomorphism 3[] is surjective, compute its kernel, and then use the First Isomorphism Theorem