Найдите частное при делении многочлена \(\displaystyle 16s^{\,8}-48s^{\,6}+24s^{\,5}\) на одночлен \(\displaystyle -8s^{\,2}\) в столбик при известном процессе деления:

\(\displaystyle -\)	\(\displaystyle \small\color{blue}{\bf 16s^{\,8}}\)	\(\displaystyle -\)	\(\displaystyle \small 48s^{\,6}\)	\(\displaystyle +\)	\(\displaystyle \small 24s^{\,5}\)	\(\displaystyle \small -8s^{\,2}\)
	\(\displaystyle \small 16s^{\,8}\)					[ ]	[ ]	[ ]
		\(\displaystyle -\)	\(\displaystyle \small\color{yellowgreen}{\bf -48s^{\,6}}\)	\(\displaystyle +\)	\(\displaystyle \small 24s^{\,5}\)
			\(\displaystyle \small -48s^{\,6}\)
				\(\displaystyle -\)	\(\displaystyle \small\color{orange}{\bf 24s^{\,5}}\)
					\(\displaystyle \small 24s^{\,5}\)
					\(\displaystyle \small0\)

С учетом найденного частного запишите разложение на множители:

\(\displaystyle 16s^{\,8}-48s^{\,6}+24s^{\,5}=-8s^{\, 2}\cdot\big(\)[ ]\(\displaystyle \big){\small . }\)