question_answer

If \[\alpha \] and \[\beta \] are the zeroes of the polynomial \[f\,\,\left( x \right)={{x}^{2}}-px+q,\] then find the value of \[{{\alpha }^{2}}+{{\beta }^{2}}\].

A)  \[{{p}^{2}}+q\]                    

B)  \[{{p}^{2}}-2q\]

C)  \[{{p}^{2}}+{{q}^{2}}\]                             

D)  \[{{p}^{2}}-5q\]

E)  None of these