Find the remainder when $10 x - 4 x^{2} - 3$ is divided by $x + 2$ using remainder theorem.

- 60

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39

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- 39

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None of these

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Solution

The correct option is C $- 39$
Let $p (x) = 10 x - 4 x^{2} - 3$
$= - 4 x^{2} + 10 x - 3$ .

Putting $x + 2 = 0$
$\Rightarrow x = - 2$ .

Now, by Remainder Theorem,

Remainder $= p (- 2)$
$= - 4 {(- 2)}^{2} + 10 (- 2) - 3$
$= - 16 - 20 - 3$
$= - 39$ .

Hence, the correct answer is $C$ .

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