For the function f(x) = (x2 + bx + c) ex and g(x) = (x2 + bx + c) ex + ex (2x + b), which of the following holds good ?
(A) f(x) > 0 for all real x ≠ g(x) > 0
(B) f(x) > 0 for all real x ⇒ g(x) > 0
(C) g(x) > 0 for all real x ⇒ f(x) > 0
(D) g(x) > 0 for all real x ≠ f(x) > 0
