Разделите многочлен \(\displaystyle t^{\,3}+6t^{\,2}-53t+22\) на многочлен \(\displaystyle t+11\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}t^{\,3}+6t^{\,2}-53t+22\)				\(\displaystyle t+11\)
	[ ]				[ ]
	\(\displaystyle \phantom{x}-\)	[ ]
		[ ]
		\(\displaystyle \phantom{ xxxx} -\)		[ ]
				[ ]
				\(\displaystyle 0\phantom{x}\)

и запишите разложение:

\(\displaystyle t^{\,3}+6t^{\,2}-53t+22=(t+11)\cdot \big(\)[ ]\(\displaystyle \big).\)