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 is -5.


Give the formula and steps.​

Answer 1

Step-by-step explanation:

F(x)=x^3+(k+8)x+k

g(x)= x-2

h(x)= x+1

Taking

x-2=0

x=2

f(2)=8+(k+8)2+k

=8+2k+16+k

=24+3k

Taking

x+1=0

x=-1

f(-1)=-1+(k+8)(-1)-5

=-1-k-8+k =-9

Adding the remainders

3k+24-9=0

3k+15=0

k=-5

Answer 2

Answer:

don't know what you tell