Polynomial Division (Synthetic)

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Divide $7x^{2}+4x+8\text{ by }x-4$.

**Answer**

$\begin{array}{rrrrrrrrrr}4& | &7&4&8&\\ & \ | &0&28&128&\\&\ | &---&---&---&\\&\ | &7&32&136&\end{array}$

$\text{So, }7x^{2}+4x+8=(x-4)(7x+32)+136$