Разделите многочлен \(\displaystyle 33v^{\,2}+29v-20\) на многочлен \(\displaystyle 3v+4\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,} 33v^{\,2}+29v-20\)				\(\displaystyle 3v+4\)
	[ ]				[ ]
	\(\displaystyle \phantom{ xx+} -\)	[ ]
		[ ]
		\(\displaystyle 0\phantom{ xx}\)

и запишите разложение:

\(\displaystyle 33v^{\,2}+29v-20=(3v+4)\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)