Разделите многочлен \(\displaystyle 40z^{\,4}-63z^{\, 3}-46z^{\,2}+48z-9\) на многочлен \(\displaystyle -8z+3\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}40z^{\,4}-63z^{\, 3}-46z^{\,2}+48z-9\)				\(\displaystyle -8z+3\)
	[ ]				[ ]
	\(\displaystyle \phantom{2y^{\,4}} -\)	[ ]
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		\(\displaystyle \phantom{ y^{\,3}xx} -\)	[ ]
			[ ]
			\(\displaystyle \phantom{ yxxxx\,} -\)	[ ]
				[ ]
				\(\displaystyle 0\)

Найдите недостающий множитель в разложении:

\(\displaystyle 40z^{\,4}-63z^{\, 3}-46z^{\,2}+48z-9=(-8z+3) \cdot (\)[ ]\(\displaystyle ).\)