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Question
If x140 + 2x151 + k is divisible by x + 1, then the value of k is
Options
1
-3
2
-2
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Solution
As f(x) = x140 + 2x151 + k is divisible by (x +1).
i.e., (x+1)is a factor of f(x).
Therefore, f(-1) = 0
`(-1)^140+2(-1)^151 + k =0`
`1 -2 +k =0`
`k=1`
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