Разделите многочлен \(\displaystyle 24z^{\,4}+32z^{\,3}-46z^{\,2}-8z+10\) на многочлен \(\displaystyle 3z^{\,2}+4z-5\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\small 1}24z^{\,4}+32z^{\, 3}-46z^{\,2}-8z+10\)				\(\displaystyle 3z^{\,2}+4z-5\)
	[ ]				[ ]
	\(\displaystyle \phantom{z^{\,4}+z^{\,3}zzz\,} -\)	[ ]
		[ ]
		\(\displaystyle 0\)

и запишите разложение:

\(\displaystyle 24z^{\,4}+32z^{\,3}-46z^{\,2}-8z+10=(3z^{\,2}+4z-5)\cdot(\)[ ]\(\displaystyle ){\small . }\)