Question

the answer of hots questions is K=-5 please give solution

Answer 1

here is the solution,you may see it

Answer 2

When x3 + (k + 8)x +k is divided by x -2, you get the quotient as x2 +2x + k + 12 and remainder as 3k +24
when x3 + (k + 8)x +k is divided by x + 1, you get the quotient as x2 - x + k + 9 and remainder as -9
so......
3k + 24 - 9 = 0
3k +15 = 0
3k = -15
k = -15/3
k = -5