Polynomial Division (Synthetic)

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Divide $9x^{2}-2x\text{ by }x-3$.

**Answer**

$\begin{array}{rrrrrrrrrr}3& | &9&-2&0&\\ & \ | &0&27&75&\\&\ | &---&---&---&\\&\ | &9&25&75&\end{array}$

$\text{So, }9x^{2}-2x=(x-3)(9x+25)+75$