If $x=-1$ and $x=2$ are extreme points of $f(x)=\alpha \log |x|+\beta x^{2}+x$ then :
$\alpha=-6, \beta=\frac{1}{2}$
$\alpha=-6, \beta=-\frac{1}{2}$
$\alpha=2, \beta=-\frac{1}{2}$
$\alpha=2, \beta=\frac{1}{2}$
Correct Option: , 3
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