Разделите многочлен \(\displaystyle 2x^{\,3}-10x^{\,2}+14x-4\) на многочлен \(\displaystyle -x^{\,2}+3x-1\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}2x^{\,3}-10x^{\,2}+14x-4\)				\(\displaystyle -x^{\,2}+3x-1\)
	[ ]				[ ]
	\(\displaystyle \phantom{ x1} -\)	[ ]
		[ ]
		\(\displaystyle 0\)

и запишите разложение:

\(\displaystyle 2x^{\,3}-10x^{\,2}+14x-4=(-x^{\,2}+3x-1)\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)