Задание

Разделите многочлен \(\displaystyle -15w^{\,4}+42w^{\, 3}-29w^{\,2}+39w-28\) на многочлен \(\displaystyle -5w+4\) в столбик:

\(\displaystyle -\) \(\displaystyle \phantom{\,}-15w^{\,4}+42w^{\, 3}-29w^{\,2}+39w-28\) \(\displaystyle -5w+4\)
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  \(\displaystyle \phantom{22x^{\,4}x\,} -\)
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    \(\displaystyle \phantom{ x^{\,3}+\,\,} -\)
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      \(\displaystyle \phantom{ xxxx\,\,} -\)
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      [ ]  
      \(\displaystyle 0\)

Найдите недостающий множитель в разложении:

\(\displaystyle -15w^{\,4}+42w^{\, 3}-29w^{\,2}+39w-28=(-5w+4) \cdot (\)[ ]\(\displaystyle ).\)