What will be the Remainder when $3 x^{3} - 2 x^{2} - 7 x + 6$ is divided by $x + 1$ ?

4

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5

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8

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0

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Solution

The correct option is B $8$
Let $f (x) = 3 x^{3} - 2 x^{2} - 7 x + 6$
To find out reminder when equation is divided by $x + 1$ we should calculate $f (- 1)$
$f (- 1) = 3 (- 1)^{3} - 2 (- 1)^{3} - 7 (- 1) + 6$
$= 13 - 5 = 8$

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