Continuity and DifferentiabilityHard

Question

Let f(x) be a polynomial of degree two which is positive for all x ∈ R
If g(x) = f(x) + f′(x) + f″(x) + xf″′(x) + x2 fIV(x), then for any real x.

Options

A.g(x) < 0
B.g(x) > 0
C.g(x) = 0
D.g(x) ≥ 0

Solution

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