2. Multiplication in GF(2^4): Compute multiplication A(x)*B(x) mod P(x) in GF(2^4) using the irreducible polynomial P(x) = x^4 +x+1 (show all the steps for both examples). What is the influence of the choice of the reduction polynomial on the computation of multiplication? - A(x) = x^2+1, B(x) = x^3+x^2+1 - A(x) = x^2+1, B(x) = x+1