Разделите многочлен \(\displaystyle 20w^{\,4}+11w^{\, 3}-16w^{\,2}+16w+8\) на многочлен \(\displaystyle 4w^{\,2}+7w+2{\small :}\)

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}20w^{\,4}+11w^{\, 3}-16w^{\,2}+16w+8\)				\(\displaystyle 4w^{\,2}+7w+2\)
	[ ]				[ ]
	\(\displaystyle \phantom{ 20w} -\)	[ ]
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		\(\displaystyle \phantom{ w^{\,4}sss\,} -\)		[ ]
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				\(\displaystyle 0\)

Найдите недостающий множитель в разложении:

\(\displaystyle 20w^{\,4}+11w^{\, 3}-16w^{\,2}+16w+8=(4w^{\,2}+7w+2) \cdot (\)[ ]\(\displaystyle ).\)