Given the polynomials f (x) = x³ + 3x* – 3x – 2, g(x) = x* – 2x + 1, h(x) = x* – 5x +3. (a) Find the greatest common divisor of f(x) and g(x) using the Euclidean Algorithm. (b) Find a polynomial a(x) of degree less than 4, and a polynomial b(x) of degree less than 5 such that h(x) = a(x)f(x) + b(x)g(x).

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