Разделите многочлен \(\displaystyle t^{\,3}+8t^{\,2}+21t+54\) на многочлен \(\displaystyle t^{\,2}+2t+9\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}t^{\,3}+8t^{\,2}+21t+54\phantom{zz}\)				\(\displaystyle t^{\,2}+2t+9\)
	[ ]				[ ]
	\(\displaystyle \phantom{ x\,\,} -\)	[ ]
		[ ]
		\(\displaystyle 0\phantom{zz}\)

и запишите разложение:

\(\displaystyle t^{\,3}+8t^{\,2}+21t+54=(\,t^{\,2}+2t+9)\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)