Разделите многочлен \(\displaystyle 8z^{\,4}+8z^{\,3}-22z^{\,2}+24z+10\) на многочлен \(\displaystyle 4z+10\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}8z^{\,4}+8z^{\,3}-22z^{\,2}+24z+10\)				\(\displaystyle 4z+10\)
	[ ]				[ ]
	\(\displaystyle \phantom{x\,} -\)	[ ]
		[ ]
		\(\displaystyle \phantom{ 31x^{\,3}1} -\)	[ ]
			[ ]
			\(\displaystyle \phantom{ xxx\,} -\)	[ ]
				[ ]
				\(\displaystyle 0\)

Найдите недостающий множитель в разложении:

\(\displaystyle 8z^{\,4}+8z^{\,3}-22z^{\,2}+24z+10=(4z+10) \cdot (\)[ ]\(\displaystyle ).\)