question_answer

The coefficient of \[f(x)=\left\{ \begin{align}   & x+4,forx<-4 \\  & 3x+2,for-4\,\le x<4 \\  & x-4,forx\ge 4 \\ \end{align} \right.\] in the expansion of is

A)  \[\frac{504}{259}\]                  

B)  \[\frac{450}{263}\]          

C)  \[\frac{405}{256}\]          

D)  None of these