Question

The sum of the remainders obtained when (x³+( k+8)x+k) is divided by (x -2) or when divided by (x+1) is zero. Find the value of k.​

Answer 1

Answer:

zero of (x-2)=2

put this value in this equation and find the reminder

Reminder is 24 + 3k

similarly when we put the zero of next we have to get reminder= -9

add both the reminders

and we have to given that the sum of the reminders is zero

24+3k+(-9)=0

24+3k-9=0

24+3k=9

3k=9-24

3k=-15

k=-15/3

k=-5