question_answer

If \[\alpha \] and \[\beta \] are zeroes of the quadratic polynomial \[p\left( x \right)=a{{x}^{2}}~-\text{ }bx+c,\] then the value of \[\frac{\alpha }{\beta }+\frac{\beta }{\alpha }\] is _________.

A)  \[\frac{{{b}^{2}}+ac}{ac}\]                                                              

B) \[\frac{{{b}^{2}}-ac}{ac}\]      

C)  \[\frac{{{b}^{2}}+2ac}{ac}\]                                                             

D)  \[\frac{{{c}^{2}}+2ac}{ac}\]

E)  None of these