Compute the greatest common divisors d(x) of the following polynomials f(x),g(x) in the field F[x] and express d(x)=s(x)f(x)+t(x)g(x) for appropriate s(x), t(x) in F[x]: c. f(x)=(x^2)+1, g(x)=(x^2)-i+2, F=C (complex numbers) d. f(x)=(x^2)+2x+2, g(x)=(x^2)+1, F=Q (rational numbers)