Find the term independent of x 4 + x + 7 x 2 x - 3 x 11 Share with your friends Share 0 Lovina Kansal answered this Dear student Given expansion is 4+x+7x2x-3x11Now, consider x-3x11Tr+1=11Crx11-r-3xr=11Crx11-r-3r1xr=11Crx11-2r-3rHence, the general term in the expansion of 4+x+7x2x-3x11=411Crx11-2r-3r+11Crx12-2r-3r+711Crx13-2r-3rFor term independent of x,putting 11-2r=0,12-2r=0 and 13-2r=0,we getr=112,r=6 and r=132Since, the possible value of r=6.Hence, first term and third term is not independent of x.∴The term independent of x is 11C6x12-12-36=11!6! 5!×-36 =11×10×9×8×7×6!6!×5×4×3×2=462 Regards 0 View Full Answer