HELP!!!!Let A denote the ideal of Z3[x] generated by the polynomial x^2+x+1, that is, A={f(x)(x^2+x+1)|f(x) is an element of Z3[x]}. Determine the number of elements in the factor ring Z3[x]/A.
Hint: . Now use the euclidean division to prove that every element can be uniquely expressed by with .
Edited: Of course I meant instead of .
Last edited by FernandoRevilla; Aug 16th 2011 at 09:52 AM.