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Multiplication of Rational Expressions

Divide x2-7x...

Question

Divide
$x^{2} - 7 x - 18$ by $x - 9$

x + 2

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x - 2

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2 x + 2

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2 x - 2

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Solution

The correct option is A $x + 2$
$= \frac{x^{2} - 7 x - 18}{(x - 9)} = \frac{x^{2} - 9 x + 2 x - 18}{(x - 9)} = \frac{x (x - 9) + 2 (x - 9)}{(x - 9)} = \frac{(x - 9) (x + 2)}{(x - 9)} = (x + 2)$

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