Разделите многочлен \(\displaystyle t^{\,4}+2t^{\,3}-7t^{\,2}-40t-20\) на многочлен \(\displaystyle t^{\,2}-3t-2\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}t^{\,4}+2t^{\,3}-7t^{\,2}-40t-20\)				\(\displaystyle t^{\,2}-3t-2\)
	[ ]				[ ]
	\(\displaystyle \phantom{ x\,} -\)	[ ]
		[ ]
		\(\displaystyle \phantom{ xx\,} -\)		[ ]
				[ ]
				\(\displaystyle 0\)

и запишите разложение:

\(\displaystyle t^{\,4}+2t^{\,3}-7t^{\,2}-40t-20=(t^{\,2}-3t-2)\cdot \big(\)[ ]\(\displaystyle \big).\)