Разделите многочлен \(\displaystyle x^{\,4}-6x^{\, 3}+7x^{\,2}-7x-15\) на многочлен \(\displaystyle x-5\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}x^{\,4}-6x^{\, 3}+7x^{\,2}-7x-15\)				\(\displaystyle x-5\)
	[ ]				[ ]
	\(\displaystyle \phantom{1} -\)	[ ]
		[ ]
		\(\displaystyle \phantom{ x^{\,3}\,} -\)	[ ]
			[ ]
			\(\displaystyle \phantom{ xxx} -\)	[ ]
				[ ]
				\(\displaystyle 0\,\,\)

Найдите недостающий множитель в разложении:

\(\displaystyle x^{\,4}-6x^{\, 3}+7x^{\,2}-7x-15=(x-5) \cdot (\)[ ]\(\displaystyle ).\)