Разделите многочлен \(\displaystyle y^{\,4}-4y^{\, 3}-25y^{\,2}-8y+12\) на многочлен \(\displaystyle y+3\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}y^{\,4}-4y^{\, 3}-25y^{\,2}-8y+12\)				\(\displaystyle y+3\)
	[ ]				[ ]
	\(\displaystyle \phantom{1} -\)	[ ]
		[ ]
		\(\displaystyle \phantom{ x^{\,3}\,} -\)	[ ]
			[ ]
			\(\displaystyle \phantom{ xxxx} -\)	[ ]
				[ ]
				\(\displaystyle 0\phantom{x}\)

Найдите недостающий множитель в разложении:

\(\displaystyle y^{\,4}-4y^{\, 3}-25y^{\,2}-8y+12=(y+3) \cdot (\)[ ]\(\displaystyle ).\)