Разделите многочлен \(\displaystyle -10y^{\,4}+41y^{\, 3}-36y^{\,2}-41y+30\) на многочлен \(\displaystyle -5y+3\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,}-10y^{\,4}+41y^{\, 3}-36y^{\,2}-41y+30\)				\(\displaystyle -5y+3\)
	[ ]				[ ]
	\(\displaystyle \phantom{22x^{\,4}\,\,} -\)	[ ]
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		\(\displaystyle \phantom{ x^{\,3}\,} -\)	[ ]
			[ ]
			\(\displaystyle \phantom{ xxx\,\,} -\)	[ ]
				[ ]
				\(\displaystyle 0\)

Найдите недостающий множитель в разложении:

\(\displaystyle -10y^{\,4}+41y^{\, 3}-36y^{\,2}-41y+30=(-5y+3) \cdot (\)[ ]\(\displaystyle ).\)