In the field Z5, we can see by trial and error that the polynomial x^2-2 is irreducible. Therefore Z5[x]/<x^2-2> is a field, it has 5^2 elements. -Sarah
In the field Z5, we can see by trial and error that the polynomial x^2-2 is irreducible. Therefore Z5[x]/<x^2-2> is a field, it has 5^2 elements. -Sarah