Question

The sum of the remainders obtained when (x3 + (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 :

K = –5

Explanation:

x³ +(k+8)x+k

Put x=2 to obtain first remainder

⇒R¹ =(2)³+(k+8)²+k=24+3k

Put x=−1 to obtain second remainder

⇒R² =(−1)³+(k+8)+k=−9

So R¹ +R² =0

⇒24+3k−9=0

⇒3k=−15

⇒k=−5 ANS.