Разделите многочлен \(\displaystyle -8v^{\,3}-32v^{\,2}-34v-6\) на многочлен \(\displaystyle 2v+3\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}-8v^{\,3}-32v^{\,2}-34v-6\)				\(\displaystyle 2v+3\)
	[ ]				[ ]
	\(\displaystyle \phantom{ -9x} -\)	[ ]
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		\(\displaystyle \phantom{ xxxxx} -\)		[ ]
				[ ]
				\(\displaystyle 0\)

и запишите разложение:

\(\displaystyle -8v^{\,3}-32v^{\,2}-34v-6=(2v+3)\cdot \big(\)[ ]\(\displaystyle \big).\)