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Consider the polynomial g(x) = x +x3 +x+x+1 in F2. Show that it is irreducible but not primitive. What happens if you try to

Consider the polynomial g(x) = x +x3 +x+x+1 in F2. Show that it is irreducible but not primitive. What happens if you try to compute all powers a of a root a of g(x)?

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