Разделите многочлен \(\displaystyle 12w^{\,2}-9w-30\) на многочлен \(\displaystyle 4w+5\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,} 12w^{\,2}-9w-30\)				\(\displaystyle 4w+5\)
	[ ]				[ ]
	\(\displaystyle \phantom{ xxx\,} -\)	[ ]
		[ ]
		\(\displaystyle 0\phantom{ xx}\)

и запишите разложение:

\(\displaystyle 12w^{\,2}-9w-30=(4w+5)\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)