Задание

Разделите многочлен \(\displaystyle w^{\,4}+11w^{\, 3}+30w^{\,2}+3w-20\) на многочлен \(\displaystyle w+4\) в столбик:

\(\displaystyle -\) \(\displaystyle \phantom{\,\,}w^{\,4}+11w^{\, 3}+30w^{\,2}+3w-20\) \(\displaystyle w+4\)
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  \(\displaystyle \phantom{1xx} -\)
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    \(\displaystyle \phantom{ x^{\,3}xx\,} -\)
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      \(\displaystyle \phantom{ xxx} -\)
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      [ ]  
      \(\displaystyle 0\,\,\)

Найдите недостающий множитель в разложении:

\(\displaystyle w^{\,4}+11w^{\, 3}+30w^{\,2}+3w-20=(w+4) \cdot (\)[ ]\(\displaystyle ).\)