Give answer The sum of remainder obtained when x cube + k + 8 x + k is divided by x minus 2 and when it is divided by x + 1 is 0 find the value of k
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Explanation:
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.
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