Задание

Разделите многочлен \(\displaystyle w^{\,4}+11w^{\,3}+34w^{\,2}+21w-7\) на многочлен \(\displaystyle w^{\,2}+4w-1\) в столбик:

\(\displaystyle -\) \(\displaystyle \phantom{\,\,}w^{\,4}+11w^{\,3}+34w^{\,2}+21w-7\) \(\displaystyle w^{\,2}+4w-1\)
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  \(\displaystyle \phantom{ xxx\,} -\)
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    \(\displaystyle \phantom{ xxxx\,} -\)
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    [ ]
      \(\displaystyle 0\)

и запишите разложение:

\(\displaystyle w^{\,4}+11w^{\,3}+34w^{\,2}+21w-7=(w^{\,2}+4w-1)\cdot \big(\,\)[ ]\(\displaystyle \big).\)