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