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(b) Show that the polynomial : f(x)=x3+x+1 is irreducible over F2. How many elements does f(x)F2[x] have, and why ? Further, find the inverse of

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(b) Show that the polynomial : f(x)=x3+x+1 is irreducible over F2. How many elements does f(x)F2[x] have, and why ? Further, find the inverse of f(x)F[x], where is a root

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