Answer
$2x^{2} - 2x + 6$
Work Step by Step
Since we are dividing by (x - 4) the zero of that x = 4 goes into the top left space.
$\hspace{0mm}\underline{4|}\hspace{5mm}2\hspace{5mm}-10\hspace{5mm}14\hspace{5mm}-24$
$ \hspace{20mm}\underline{8\hspace{5mm}-8\hspace{10mm}24}$
$\hspace{8mm}2\hspace{5mm}-2\hspace{10mm}6\hspace{10mm}\underline{|0}$
Since the bottom right space has a 0, there is no reminder.
