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Division of a Polynomial by a Binomial

When x 2-4 x ...

Question

When $x^{2} - 4 x + 11$ is divided by $x - 2$ , find the sum of quotient and remainder.

A

$x + 2$

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B

$x + 5$

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C

$x + 4$

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D

$2$

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Solution

The correct option is B
$x + 5$

$D i v i d e n d = D i v i s o r \times Q u o t i e n t + R e m a i n d e r$

$S u m o f q u o t i e n t a n d r e m a i n d e r$
$= x - 2 + 7$
$= x + 5$

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