Задание

Разделите многочлен \(\displaystyle 28t^{\,4}+29t^{\, 3}-44t^{\,2}+36t-9\) на многочлен \(\displaystyle 4t^{\,2}+7t-3{\small :}\)

\(\displaystyle -\) \(\displaystyle \phantom{\,\,}28t^{\,4}+29t^{\, 3}-44t^{\,2}+36t-9\) \(\displaystyle 4t^{\,2}+7t-3\)
[ ]
[ ]
  \(\displaystyle \phantom{ 28t} -\)
[ ]
 
[ ]
    \(\displaystyle \phantom{ s^{\,4}sss} -\)
[ ]
    [ ]
      \(\displaystyle 0\)

Найдите недостающий множитель в разложении:

\(\displaystyle 28t^{\,4}+29t^{\, 3}-44t^{\,2}+36t-9=(4t^{\,2}+7t-3) \cdot (\)[ ]\(\displaystyle ).\)