Poly-polynomials

Algebra Level 5

Find the sum of the values of the parameter aa such that for some non-constant polynomials with real coefficients f(x)f(x) and g(x)g(x) (g(x))2=(f(x))312(f(x))2+45f(x)a(g(x))^2=(f(x))^3-12(f(x))^2+45f(x)-a

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