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