Question

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

Answer 1

Answer:

Hope I was able to help so do Mark me the brainliest if you think I could help you out with a answer to your question pweaseee ʕ ꈍᴥꈍʔ

Answer 2

Step-by-step explanation:

Given :

• The sum of remainder obtained when
• x³ + (k + 8)x + k is divided by x – 2 and when it is divided by x + 1 is 0 find the value of k.

Find :

• The value of k.

Solution :

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 = 0

=> 3k = –15

=> k = –15/3

=> k = –5.

Hence :

• The value of k is –5.