question_answer

If \[\alpha \] and \[\beta \] are the zeroes of the polynomial \[f(x)=a{{x}^{2}}+bx+c,\] then what is the value of\[\frac{1}{\alpha }+\frac{1}{\beta }-2\alpha \beta \] ?

A)  \[\frac{-b}{c}+a\]                    

B)  \[\frac{bc}{a}+3a\]

C)  \[-\left( \frac{b}{c}+\frac{2c}{a} \right)\,\]         

D)  \[\frac{-c}{a}\]

E)  None of these