Polynomial Division (Synthetic)

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Divide $3x^{2}+2x-1\text{ by }x-5$.

**Answer**

$\begin{array}{rrrrrrrrrr}5& | &3&2&-1&\\ & \ | &0&15&85&\\&\ | &---&---&---&\\&\ | &3&17&84&\end{array}$

$\text{So, }3x^{2}+2x-1=(x-5)(3x+17)+84$