Find the remainder when $3 x^{4} - 4 x^{3} - 3 x - 1$ is dividend by $x - 1$ .

5

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- 5

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4

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- 4

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Solution

The correct option is B $- 5$
$f (x) = 3 x^{4} - 4 x^{3} - 3 x - 1$
$f (1) = 3 - 4 - 3 - 1$
$= 3 - 8$
$= - 5$

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