Разделите многочлен \(\displaystyle 45t^{\,4}-78t^{\, 3}+36t^{\,2}-51t+42\) на многочлен \(\displaystyle -5t+7\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}45t^{\,4}-78t^{\, 3}+36t^{\,2}-51t+42\)				\(\displaystyle -5t+7\)
	[ ]				[ ]
	\(\displaystyle \phantom{2y^{\,4}} -\)	[ ]
		[ ]
		\(\displaystyle \phantom{ y^{\,3}xx\,} -\)	[ ]
			[ ]
			\(\displaystyle \phantom{ yxx\,} -\)	[ ]
				[ ]
				\(\displaystyle 0\)

Найдите недостающий множитель в разложении:

\(\displaystyle 45t^{\,4}-78t^{\, 3}+36t^{\,2}-51t+42=(-5t+7) \cdot (\)[ ]\(\displaystyle ).\)