Разделите многочлен \(\displaystyle s^{\,4}+3s^{\,3}-9s^{\,2}-16s+30\) на многочлен \(\displaystyle s^{\,2}+s-5\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}s^{\,4}+3s^{\,3}-9s^{\,2}-16s+30\)				\(\displaystyle s^{\,2}+s-5\)
	[ ]				[ ]
	\(\displaystyle \phantom{ x\,} -\)	[ ]
		[ ]
		\(\displaystyle \phantom{ xx\,\,} -\)		[ ]
				[ ]
				\(\displaystyle 0\)

и запишите разложение:

\(\displaystyle s^{\,4}+3s^{\,3}-9s^{\,2}-16s+30=(s^{\,2}+s-5)\cdot \big(\)[ ]\(\displaystyle \big).\)