Question

The sum of the remainders obtained when (xq +(k+8)x+k) is devided by (x-2)or when it is divided by (x+1)is zero find the value of k.

Answer 1

2q+(k+8)2+k+-1q+(k+8)-1+k=0
2q+2k+16+k-q-k-8+k=0
q+2k+8=0
k=-8-q/2