question_answer

If \[\alpha \] ,\[\beta \] and \[\gamma \] are the zeros of the polynomial \[2{{x}^{3}}-3{{x}^{2}}-23x+12,\] then the value of \[\frac{1}{\alpha }+\frac{1}{\beta }+\frac{1}{\gamma }\] is

A)  \[\frac{23}{12}\]          

B)  \[-\,6\]

C)  \[\frac{3}{2}\]                         

D)  \[\frac{-\,23}{12}\]

E)  None of these