Разделите многочлен \(\displaystyle t^{\,3}+5t^{\,2}-72\) на многочлен \(\displaystyle t-3\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}t^{\,3}+5t^{\,2}-72\)				\(\displaystyle t-3\)
	[ ]				[ ]
	\(\displaystyle \phantom{ x\,\,}-\)	[ ]
		[ ]
		\(\displaystyle \phantom{ xx} -\)		[ ]
				[ ]
				\(\displaystyle 0\)

и запишите разложение:

\(\displaystyle t^{\,3}+5t^{\,2}-72=(t-3)\cdot \big(\)[ ]\(\displaystyle \big).\)