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Let f(x) be a quadratic expression, whic...

Let f(x) be a quadratic expression, which is positive for all real x. Let `f(x)=ax^2+bx+c,f'(x)=2ax+b, f''(x)=2a`, where f'(x) and f"(x) are the first and second derivatives of f(x), respectively. If `g(x)=f(x)+f'(x)+f''(x)`, then for every real x

A

`g(x) lt 0`

B

`g(x) gt 0`

C

`g(x) gt0`

D

`g(x) le 0`

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The correct Answer is:
B
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