Determine the multiplicative inverse of x + x + 1 in GF(24), using the prime (irreducible)...

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Determine the multiplicative inverse of x³ + x² + 1 in GF(24), using the prime (irreducible) polynomial m(x) = x²+x+1 as the modulo polynomial. (Hint: Adapt the Extended Euclid's GCD algorithm, Modular Arithmetic, to polynomials.) Determine the multiplicative inverse of x³ + x² + 1 in GF(24), using the prime (irreducible) polynomial m(x) = x²+x+1 as the modulo polynomial. (Hint: Adapt the Extended Euclid's GCD algorithm, Modular Arithmetic, to polynomials.)

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