Question

The sum of reminders obtained when (x^3 +(k+8)x +k) is divided by (x - 2) or when it is divided by (x + 1) is zero find the value of k.​

Answer 1

Answer:

-5

Step-by-step explanation:

p(x) = x³ +(k+8)x +k

p(2) =2³ +2(k+8) +k = 3k +24 = 3(k+8)

p(-1) = -1 - (k+8) +k = -9

sum of remainders = 3k+24 -9= 3k + 15 = 0

k = -5