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## Homework Statement

Hi, I need to show that [tex]\alpha+1[/tex]=[x] is a primitive element of GF(9)= [tex]\mathbb{Z}_3[x]/<x^{2}+x+2>[/tex]

I have already worked out that the function in the < > is irreducible but I do not know where to go from this.

## Homework Equations

there are 8 elements in the multiplicative group, what would they be?

## The Attempt at a Solution

I guess it would be: 0, 2, x+2, what else? Im very unsure how to do this.

please help me would be appreciated thanks