What number should be added to $x^{3} - {9 x}^{2} - 2 x + 3$ so that the remainder may be $5$ when divided by $(x - 2)$ .

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Solution

Let a be added to
$x^{3} - 9 x^{2} - 2 x + 3$ so that remainder is $5$ when divided by $(x - 2)$
(Image )
$a - 29 = 5$
$a = 29 + 5$
$a = 34$

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