Question

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Answer 1

x

3

+(k+8)x+k

Put x=2 to obtain first remainder

⇒R

1

=(2)

3

+(k+8)

2

+k=24+3k

Put x=−1 to obtain second remainder

⇒R

2

=(−1)

3

+(k+8)+k=−9

So R

1

+R

2

=0

⇒24+3k−9=0

⇒3k=−15

⇒k=−5.

Answer 2

Answer:

-11

Step-by-step explanation:

x-2=0

x=2,

8+2k+16+k=24+3k

x+1=0

x=-1

-1-k-8+k=-9

24+3k=-9

3k=-33

k=-11