Thread: Determine the number of Elements

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.

Originally Posted by fourth

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 .