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Find the GCD d(x) of the following pairs of polynomials a(x),b(x) in Z3[x]. In each case,...

Find the GCD d(x) of the following pairs of polynomials a(x),b(x) in Z3[x]. In each case, express d(x) as a linear combination of a(x) and b(x).

a) a(x)= x3 + x2 +1 , b(x)= x2+1

b) a(x)= x3 + x2+ 1 , b(x)= x2 + x + 1

c) a(x)= x3 +x2 +1 ,b(x)= x2 + x

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