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Division of a Polynomial by a Polynomial

Divide: x2 ...

Question

Divide: $x^{2} + x - 6$ by $x + 3$

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Solution

$x^{2} + x - 6 \div x + 3$

$\Rightarrow \frac{x^{2} + x - 6}{x + 3}$

$\Rightarrow \frac{x^{2} + 3 x - 2 x - 6}{x + 3}$

$\Rightarrow \frac{(x - 2) (x + 3)}{(x + 3)}$

$\Rightarrow x - 2$ .

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