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Let f(x)=ax^(2)+bx+c,a,b,c in Randa ne0 ...

Let `f(x)=ax^(2)+bx+c,a,b,c in Randa ne0` suppose `f(x)gt0` for all `x in R` Let `g(x)=f(x)+f(x)+f'(x)` then

A

`g(x)gt0AA x in R`

B

`g(x)lt0AA x in R`

C

`g(x)=0` has no real complex roots

D

sum of the roots of g(x)=0 is -3 if `omega,omega^(2)` are roots of f(x)=0 where `omega` is the cube roots of unity

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The correct Answer is:
A, C, D
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