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

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

и запишите разложение:

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