Разделите многочлен \(\displaystyle 6x^{\,2}+13x-5\) на многочлен \(\displaystyle 3x-1\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,} 6x^{\,2}+13x-5\)				\(\displaystyle 3x-1\)
	[ ]				[ ]
	\(\displaystyle \phantom{ x^{\,2}+} -\)	[ ]
		[ ]
		\(\displaystyle 0\phantom{ x\,}\)

и запишите разложение:

\(\displaystyle 6x^{\,2}+13x-5=(3x-1)\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)