1. Let F := 2/2z in each item below an element a and a polynomial f(X) € F[X] satisfyingin f(a) = 0 is given. Write down a multiplication table for the elements of the finite field K = F(a) i. a is a zero of f(X) = X² + x + 1 ii. a is a zero of f(X) = X³+X+1 iii. a is a zero of f(X) = X² + 1

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