Polynomial Division (Synthetic)

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Divide $7x^{2}-7x+5\text{ by }x+2$.

**Answer**

$\begin{array}{rrrrrrrrrr}-2& | &7&-7&5&\\ & \ | &0&-14&42&\\&\ | &---&---&---&\\&\ | &7&-21&47&\end{array}$

$\text{So, }7x^{2}-7x+5=(x+2)(7x-21)+47$