Задание
Разделите многочлен \(\displaystyle 24t^{\,4}-93t^{\,3}+39t^{\,2}+37t-14\) на многочлен \(\displaystyle 8t-7\) в столбик:
\(\displaystyle -\) | \(\displaystyle \phantom{\,\,}24t^{\,4}-93t^{\,3}+39t^{\,2}+37t-14\) | \(\displaystyle 8t-7\) | |||||
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\(\displaystyle \phantom{x^{\,4}\,} -\) |
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\(\displaystyle \phantom{ 31x\,} -\) |
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\(\displaystyle \phantom{ xxxx\,} -\) |
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\(\displaystyle 0\) |
Найдите недостающий множитель в разложении:
\(\displaystyle 24t^{\,4}-93t^{\,3}+39t^{\,2}+37t-14=(8t-7) \cdot (\)[ ]\(\displaystyle ).\)