Найдите частное при делении многочлена \(\displaystyle -169t^{\,9}+78t^{\,6}-104t^{\,5}\) на одночлен \(\displaystyle 13t^{\,4}\) в столбик, при известном процессе деления:

\(\displaystyle -\)	\(\displaystyle \small\color{blue}{\bf -169t^{\,9}}\)	\(\displaystyle +\)	\(\displaystyle \small 78t^{\,6}\)	\(\displaystyle -\)	\(\displaystyle \small 104t^{\,5}\)	\(\displaystyle \small 13t^{\,4}\)
	\(\displaystyle \small -169t^{\,9}\)					[ ]	[ ]	[ ]
		\(\displaystyle -\)	\(\displaystyle \small\color{yellowgreen}{\bf 78t^{\,6}}\)	\(\displaystyle -\)	\(\displaystyle \small 104t^{\,5}\)
			\(\displaystyle \small 78t^{\,6}\)
				\(\displaystyle -\)	\(\displaystyle \small\color{orange}{\bf -104t^{\,5}}\)
					\(\displaystyle \small -104t^{\,5}\)
					\(\displaystyle \small0\)

С учетом найденного частного запишите разложение на множители:

\(\displaystyle -169t^{\,9}+78t^{\,6}-104t^{\,5}=13t^{\, 4}\cdot\big(\)[ ]\(\displaystyle \big){\small . }\)