Разделите многочлен \(\displaystyle w^{\,4}+11w^{\,3}+34w^{\,2}+21w-7\) на многочлен \(\displaystyle w^{\,2}+4w-1\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}w^{\,4}+11w^{\,3}+34w^{\,2}+21w-7\)				\(\displaystyle w^{\,2}+4w-1\)
	[ ]				[ ]
	\(\displaystyle \phantom{ xxx\,} -\)	[ ]
		[ ]
		\(\displaystyle \phantom{ xxxx\,} -\)		[ ]
				[ ]
				\(\displaystyle 0\)

и запишите разложение:

\(\displaystyle w^{\,4}+11w^{\,3}+34w^{\,2}+21w-7=(w^{\,2}+4w-1)\cdot \big(\,\)[ ]\(\displaystyle \big).\)