Найдите частное при делении многочлена \(\displaystyle 36y^{\,15}-16y^{\,11}+52y^{\,8}\) на одночлен \(\displaystyle -4y^{\,5}\) в столбик при известном процессе деления:

\(\displaystyle -\)	\(\displaystyle \small\color{blue}{\bf 36y^{\,15}}\)	\(\displaystyle -\)	\(\displaystyle \small 16y^{\,11}\)	\(\displaystyle +\)	\(\displaystyle \small 52y^{\,8}\)	\(\displaystyle \small -4y^{\,5}\)
	\(\displaystyle \small 36y^{\,15}\)					[ ]	[ ]	[ ]
		\(\displaystyle -\)	\(\displaystyle \small\color{yellowgreen}{\bf -16y^{\,11}}\)	\(\displaystyle +\)	\(\displaystyle \small 52y^{\,8}\)
			\(\displaystyle \small -16y^{\,11}\)
				\(\displaystyle -\)	\(\displaystyle \small\color{orange}{\bf 52y^{\,8}}\)
					\(\displaystyle \small 52y^{\,8}\)
					\(\displaystyle \small0\)

С учетом найденного частного запишите разложение на множители:

\(\displaystyle 36y^{\,15}-16y^{\,11}+52y^{\,8}=-4y^{\, 5}\cdot\big(\)[ ]\(\displaystyle \big){\small . }\)