Question: Let f(r) = r* - 2? 2 Z3[r]. (a) Find the splitting field E of f(x) over Z3. (b) Find the Galois group Gal(E/Z3).

Let f(r) = r* - 2? 2 Z3[r]. (a) Find the splitting 

Let f(r) = r* - 2? 2 Z3[r]. (a) Find the splitting field E of f(x) over Z3. (b) Find the Galois group Gal(E/Z3). Hint: How many elements does E have?

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