Разделите многочлен \(\displaystyle -3z^{\,3}+10z^{\,2}+35z+18\) на многочлен \(\displaystyle -z^{\,2}+4z+9\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}-3z^{\,3}+10z^{\,2}+35z+18\)				\(\displaystyle -z^{\,2}+4z+9\)
	[ ]				[ ]
	\(\displaystyle \phantom{ xxxxx} -\)	[ ]
		[ ]
		\(\displaystyle 0\)

и запишите разложение:

\(\displaystyle -3z^{\,3}+10z^{\,2}+35z+18=(-z^{\,2}+4z+9)\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)