Разделите многочлен \(\displaystyle 5t^{\,3}-27t^{\,2}+25t-6\) на многочлен \(\displaystyle -t^{\,2}+5t-3\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}5t^{\,3}-27t^{\,2}+25t-6\phantom{z}\)				\(\displaystyle -t^{\,2}+5t-3\)
	[ ]				[ ]
	\(\displaystyle \phantom{ x1} -\)	[ ]
		[ ]
		\(\displaystyle 0\phantom{z}\)

и запишите разложение:

\(\displaystyle 5t^{\,3}-27t^{\,2}+25t-6=(-t^{\,2}+5t-3)\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)