Consider the polynomial $\displaystyle {p}{\left({x}\right)}=-{2}{x}^{{3}}+{2}{x}^{{2}}+{34}{x}+{30}$ and the completed synthetic division exercise below.

$\displaystyle {5}$	$\displaystyle -{2}$	$\displaystyle {2}$	$\displaystyle {34}$	$\displaystyle {30}$
	↓	$\displaystyle -{10}$	$\displaystyle -{40}$	$\displaystyle -{30}$
	$\displaystyle -{2}$	$\displaystyle -{8}$	$\displaystyle -{6}$	$\displaystyle {0}$

The above result indicates that what value is a root of $\displaystyle {p}$?

$\displaystyle {x}=$

Based on the above result, $\displaystyle {p}$ can be factored as

$\displaystyle {p}{\left({x}\right)}=$Preview Question 6 Part 2 of 2