Разделите многочлен \(\displaystyle -3v^{\,3}+37v^{\,2}-43v-63\) на многочлен \(\displaystyle -v^{\,2}+10v+9\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}-3v^{\,3}+37v^{\,2}-43v-63\)				\(\displaystyle -v^{\,2}+10v+9\)
	[ ]				[ ]
	\(\displaystyle \phantom{ xxxxx} -\)	[ ]
		[ ]
		\(\displaystyle 0\)

и запишите разложение:

\(\displaystyle -3v^{\,3}+37v^{\,2}-43v-63=(-v^{\,2}+10v+9)\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)