Разделите многочлен \(\displaystyle 14u^{\,2}-43u+20\) на многочлен \(\displaystyle 2u-5\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,} 14u^{\,2}-43u+20\)				\(\displaystyle 2u-5\)
	[ ]				[ ]
	\(\displaystyle \phantom{ xxx\,} -\)	[ ]
		[ ]
		\(\displaystyle 0\phantom{ x}\)

и запишите разложение:

\(\displaystyle 14u^{\,2}-43u+20=(2u-5)\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)