question_answer

If p and q are the zeroes of the quadratic polynomial \[f(x)=c{{x}^{2}}+ax+b\] then the value of \[{{\mathbf{p}}^{\mathbf{4}}}+\text{ }{{\mathbf{q}}^{\mathbf{4}}}\]is ______

A)  \[\frac{{{({{a}^{2}}-2bc)}^{2}}-{{b}^{2}}{{c}^{2}}}{{{c}^{4}}}\]                    

B) \[\frac{{{({{a}^{2}}-2bc)}^{2}}-2{{b}^{2}}{{c}^{2}}}{{{c}^{4}}}\]

C) \[\frac{{{({{b}^{2}}-2ac)}^{2}}-{{a}^{2}}{{c}^{2}}}{{{c}^{4}}}\]

D) \[\frac{{{({{b}^{2}}-2ac)}^{2}}-2{{a}^{2}}{{c}^{2}}}{{{c}^{4}}}\]

E)  None of these