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Question
The value of k for which x − 1 is a factor of 4x3 + 3x2 − 4x + k, is
Options
3
1
-2
-3
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Solution
As (x - 1)is a factor of polynomial f(x) = 4x3 + 3x2 − 4x + k
Therefore, f(1) = 0
`4(1)^3 + 3(1)^2 - 4(1) + k = 0`
`4 + 3 - 4 + k = 0`
` k = -3`
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