Question: Let F = Z/(2) be the field with two elements. Find a polynomial f in F2[x] such that f+(x) = 1 + (x) +

Let F = Z/(2) be the field with two elements. Find a

Let F = Z/(2) be the field with two elements. Find a polynomial f in F2[x] such that f+(x) = 1 + (x) + (x + x + 1) = (x + 1) + (x + x + 1) in F[x]/(x), in F[x]/(x + x + 1), + (x + x + 1) = (x + x + 1) + (x4 + x + 1) in F[x]/(x4 + x3 + 1).

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