Polynomial Division (Synthetic)

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Divide $x^{2}-3x-2\text{ by }x+3$.

**Answer**

$\begin{array}{rrrrrrrrrr}-3& | &1&-3&-2&\\ & \ | &0&-3&18&\\&\ | &---&---&---&\\&\ | &1&-6&16&\end{array}$

$\text{So, }x^{2}-3x-2=(x+3)(x-6)+16$