Разделите многочлен \( 9v^{\,4}-6v^{\,3}-21v^{\,2}-4v-18\) на многочлен \( 3v^{\,2}-2v-9\) в столбик: \( -\) \( \phantom{ 1}9v^{\,4}-6v^{\, 3}-21v^{\,2}-4v-18\) \( 3v^{\,2}-2v-9\) \( \phantom{v^{\,4}+v^{\,3}zzz\,} -\) \( 0\) и запишите разложение: \( 9v^{\,4}-6v^{\,3}-21v^{\,2}-4v-18=(3v^{\,2}-2v-9)\cdot(\)\( ){ . }\)

Задание

Разделите многочлен \(\displaystyle 9v^{\,4}-6v^{\,3}-21v^{\,2}-4v-18\) на многочлен \(\displaystyle 3v^{\,2}-2v-9\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\small 1}9v^{\,4}-6v^{\, 3}-21v^{\,2}-4v-18\)		\(\displaystyle 3v^{\,2}-2v-9\)
	[ ]		[ ]
	\(\displaystyle \phantom{v^{\,4}+v^{\,3}zzz\,} -\)	[ ]
		[ ]
		\(\displaystyle 0\)

и запишите разложение:

\(\displaystyle 9v^{\,4}-6v^{\,3}-21v^{\,2}-4v-18=(3v^{\,2}-2v-9)\cdot(\)[ ]\(\displaystyle ){\small . }\)