question_answer

Divide the polynomial \[f(x)={{x}^{4}}-2\] by the polynomial \[g(x)=5x-{{x}^{2}}+1\] and find the quotient and remainder.

A)  \[q(x)=-{{x}^{2}}-5x-26,\] \[r(x)=130x+20\]

B)  \[q(x)=-{{x}^{2}}-5x-26,\] \[r(x)=135x+24\]

C)  \[r(x)=-{{x}^{2}}-5x-25,\] \[q(x)=135x+24\]

D)  \[q(x)=-x-2x-26,\] \[r(x)=135x+22\]

E)  None of these