Question: Let f(x), g(x) e [x] with f(x) = x3 + 2x2 + ax - b, g(x) = x3 + x2 - bx + a.

Let f(x), g(x) e ∈ [x] with f(x) = x3 + 2x2 + ax - b, g(x) = x3 + x2 - bx + a. Determine values for a, b so that the gcd of f(x), g(x) is a polynomial of degree 2.

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