Factoring I found that there are two fields one is in the form F(a) {a + bi| a,b contained in Z_3} the other is (x - B)(x^3+x^2B-x+xB^2-B+B^3) which I got from long division.
Did anyone else get this? --Robertsr 23:51, 2 December 2008 (UTC)
I reduced x^4-x^2-2 to (x^2-2)(x^2+1) so the subfields both have degree 2. I don't know how helpful this is, but I figured I'd post it anyway.