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

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}x^{\,3}+x^{\,2}-3x+1\)				\(\displaystyle x-1\)
	[ ]				[ ]
	\(\displaystyle -\)	[ ]
		[ ]
		\(\displaystyle \phantom{ xx} -\)		[ ]
				[ ]
				\(\displaystyle 0\)

и запишите разложение:

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