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mathsss2
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Describe the field [tex]F=\frac{\mathbb{F}_3[x]}{(p(x))}[/tex] [[tex]p(x)[/tex] is an irreducible polynomial in [tex]\mathbb{F}_3[x][/tex]]. Find an element of [tex]F[/tex] that generates the cyclic group [tex]F^*[/tex] and show that your element works.
[[tex]p(x)=x^2+1[/tex] is irreducible in [tex]\mathbb{F}_3[x][/tex] if that helps]
[[tex]p(x)=x^2+1[/tex] is irreducible in [tex]\mathbb{F}_3[x][/tex] if that helps]