Найдите частное при делении многочлена \(\displaystyle 5z^{\,14}-27z^{\,11}+4z^{\,7}\) на одночлен \(\displaystyle z^{\,3}\) в столбик при известном процессе деления:

\(\displaystyle -\)	\(\displaystyle \small\color{blue}{\bf 5z^{\,14}}\)	\(\displaystyle -\)	\(\displaystyle \small 27z^{\,11}\)	\(\displaystyle +\)	\(\displaystyle \small 4z^{\,7}\)	\(\displaystyle \small z^{\,3}\)
	\(\displaystyle \small 5z^{\,14}\)					[ ]	[ ]	[ ]
		\(\displaystyle -\)	\(\displaystyle \small\color{yellowgreen}{\bf -27z^{\,11}}\)	\(\displaystyle +\)	\(\displaystyle \small 4z^{\,7}\)
			\(\displaystyle \small -27z^{\,11}\)
				\(\displaystyle -\)	\(\displaystyle \small\color{orange}{\bf 4z^{\,7}}\)
					\(\displaystyle \small 4z^{\,7}\)
					\(\displaystyle \small0\)

С учетом найденного частного запишите разложение на множители:

\(\displaystyle 5z^{\,14}-27z^{\,11}+4z^{\,7}=z^{\, 3}\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)