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f(x) is a cubic polynomial x^3 + ax^2+ b...

`f(x)` is a cubic polynomial `x^3 + ax^2+ bx + c` such that `f(x)=0` has three distinct integral roots and `f(g(x)) = 0` does not have real roots, where `g(x) = x^2 + 2x - 5,` the minimum value of `a + b + c` is

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