Разделите многочлен \(\displaystyle z^{\,3}-z^{\,2}-16z+16\) на многочлен \(\displaystyle z^{\,2}-5z+4\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}z^{\,3}-z^{\,2}-16z+16\phantom{zz}\)				\(\displaystyle z^{\,2}-5z+4\)
	[ ]				[ ]
	\(\displaystyle \phantom{ x\,\,} -\)	[ ]
		[ ]
		\(\displaystyle 0\phantom{ xx}\)

и запишите разложение:

\(\displaystyle z^{\,3}-z^{\,2}-16z+16=(\,z^{\,2}-5z+4)\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)