Question: Consider the field GF ( 2 4 ) , with P ( x ) = x 4 + x + 1 being the irreducible polynomial.

Consider the field GF(24), with P(x)= x4+x+1 being the irreducible polynomial. Find the inverses of A(x)= x and B(x)= x2+x. You can find the inverses by trial and error, i.e., brute-force search(, or by applying the Extended Euclidean Algorithm). Verify your answer by multiplying the inverses you determined by A and B, respectively.

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