The question is 

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> Let $f(x)$ be a polynomial of degree $2$ and $f(x) > 0$ for all real values of $x$. Prove that $f(x) + f'(x) + f''(x) > 0$ for any value of $x$.
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I tried making that kind of a function and started putting values. It's coming right, but I wanted a more rigorous proof