Найдите частное при делении многочлена \(\displaystyle -11s^{\,10}+7s^{\,8}-3s^{\,7}\) на одночлен \(\displaystyle s^{\,6}\) в столбик при известном процессе деления:

\(\displaystyle -\)	\(\displaystyle \small\color{blue}{\bf -11s^{\,10}}\)	\(\displaystyle +\)	\(\displaystyle \small 7s^{\,8}\)	\(\displaystyle -\)	\(\displaystyle \small 3s^{\,7}\)	\(\displaystyle \small s^{\,6}\)
	\(\displaystyle \small -11s^{\,10}\)					[ ]	[ ]	[ ]
		\(\displaystyle -\)	\(\displaystyle \small\color{yellowgreen}{\bf 7s^{\,8}}\)	\(\displaystyle -\)	\(\displaystyle \small 3s^{\,7}\)
			\(\displaystyle \small 7s^{\,8}\)
				\(\displaystyle -\)	\(\displaystyle \small\color{orange}{\bf -3s^{\,7}}\)
					\(\displaystyle \small -3s^{\,7}\)
					\(\displaystyle \small0\)

С учетом найденного частного запишите разложение на множители:

\(\displaystyle -11s^{\,10}+7s^{\,8}-3s^{\,7}=s^{\, 6}\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)