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If $k x^{3} + 8 x^{2} - 4 x + 10$ divided by $(x + 1)$ leaves the remainder $- 3$ , then the value of $k$ is

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answer is C.

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Detailed Solution

f (x) = k x^{3} + 8 x^{2} - 4 x + 10

$f (- 1) = - 3$

$\Rightarrow k {(- 1)}^{3} + 8 {(- 1)}^{2} - 4 \times (- 1) + 10 = - 3$

$\Rightarrow - k + 8 + 4 + 10 = - 3$

$k = 22 + 3$

$k = 25$

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