Разделите многочлен \(\displaystyle -20t^{\,3}+3t^{\,2}+6t+1\) на многочлен \(\displaystyle 4t+1\) в столбик:

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}-20t^{\,3}+3t^{\,2}+6t+1\)				\(\displaystyle 4t+1\)
	[ ]				[ ]
	\(\displaystyle \phantom{ -9xxx} -\)	[ ]
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		\(\displaystyle \phantom{ xxx} -\)		[ ]
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				\(\displaystyle 0\)

и запишите разложение:

\(\displaystyle -20t^{\,3}+3t^{\,2}+6t+1=(4t+1)\cdot \big(\)[ ]\(\displaystyle \big).\)