The correct option is C x + 2 x^2 + 9x + 14x + 7 #160; = x^2 + 7x + 2x + 14x + 7 = x (x + 7) + 2(x + 7)x + 7 = (x + 2)(x + 7)x + 7 ...

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Division of a Polynomial by a Polynomial

x2 + 9x + 14x...

Question

$\frac{x^{2} + 9 x + 14}{x + 7} =$

x + 2

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x + 7

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2

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7

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Solution

The correct option is C $x + 2$
$\frac{x^{2} + 9 x + 14}{x + 7}$ $= \frac{x^{2} + 7 x + 2 x + 14}{x + 7}$

$= \frac{x (x + 7) + 2 (x + 7)}{x + 7}$

$= \frac{(x + 2) (x + 7)}{x + 7}$

$= x + 2$

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