The value of k for which $(x - 1)$ is a factor of $x^{3} - k x^{2} + 11 x - 6$ is

- 5

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2

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6

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- 6

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Solution

The correct option is C $6$
since (x-1) is a factor
Using remainder theorem, we have
Put the 1 in place of x and the remainder equals zero
$1 - k + 11 - 6 = 0$
$∴ k = 6$

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