question_answer

If \[({{x}^{2}}+x-1)\] is a factor of\[{{x}^{4}}+p{{x}^{3}}+q{{x}^{2}}-8x+5,\] then find the values of p and q.

A)  \[p=-\,3,\text{ }q=4\]   

B)  \[p=4,\text{ }q=-\,3\]

C)  \[p=\text{2},\text{ }q=-\,4\]     

D)  \[p=-\,4,~q=2\]

E)  None of these