Prove that polynomial x^2+x+2 is a primitive over Z_5 (The polynomial p(x)=x is the generator of multiplicative group of the field Z_5[x]/<x^2+x+2>) Don't have a clue?
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Originally Posted by mandy123 Prove that polynomial x^2+x+2 is a primitive over Z_5 (The polynomial p(x)=x is the generator of multiplicative group of the field Z_5[x]/<x^2+x+2>) Don't have a clue? it's very simple: an element of is in the form which for simplicity i'll write it as so in we have: we want to show that it's clear for now we have: hence the order of in is 24. Q.E.D.
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