Answer
$4x^{2} - 9$
Work Step by Step
$\hspace{0mm}\underline{-2|}\hspace{5mm}4\hspace{5mm}8\hspace{5mm}-9\hspace{5mm}-18$
$ \hspace{16mm}\underline{-8\hspace{10mm}0\hspace{11mm}18}$
$\hspace{12mm}4\hspace{6mm}0\hspace{4mm}-9\hspace{10mm}\underline{|0}$
The remainder is 0.