Quadratic #1

Algebra Level pending

Suppose that \(f\left( x \right)\) is a quadratic expression positive for all real x. If \(g\left( x \right)\) = \(f\left( x \right)\) + \(f^{ ' }\left( x \right)\) + \(f^{ '' }\left( x \right)\), then for any real x

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