Найдите частное при делении многочлена \(\displaystyle -42t^{\,17}+18t^{\,13}-72t^{\,12}\) на одночлен \(\displaystyle -6t^{\,9}\) в столбик при известном процессе деления:

\(\displaystyle -\)	\(\displaystyle \small\color{blue}{\bf -42t^{\,17}}\)	\(\displaystyle +\)	\(\displaystyle \small 18t^{\,13}\)	\(\displaystyle -\)	\(\displaystyle \small 72t^{\,12}\)	\(\displaystyle \small -6t^{\,9}\)
	\(\displaystyle \small -42t^{\,17}\)					[ ]	[ ]	[ ]
		\(\displaystyle -\)	\(\displaystyle \small\color{yellowgreen}{\bf 18t^{\,13}}\)	\(\displaystyle -\)	\(\displaystyle \small 72t^{\,12}\)
			\(\displaystyle \small 18t^{\,13}\)
				\(\displaystyle -\)	\(\displaystyle \small\color{orange}{\bf -72t^{\,12}}\)
					\(\displaystyle \small -72t^{\,12}\)
					\(\displaystyle \small0\)

С учетом найденного частного запишите разложение на множители:

\(\displaystyle -42t^{\,17}+18t^{\,13}-72t^{\,12}=-6t^{\, 9}\cdot\big(\)[ ]\(\displaystyle \big){\small . }\)