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

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

и запишите разложение:

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