Задание
Разделите многочлен \(\displaystyle 42x^{\,4}-26x^{\,3}+11x^{\,2}+19x-6\) на многочлен \(\displaystyle 7x-2\) в столбик:
| \(\displaystyle -\) | \(\displaystyle \phantom{\,\,}42x^{\,4}-26x^{\,3}+11x^{\,2}+19x-6\) | \(\displaystyle 7x-2\) | |||||
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| \(\displaystyle \phantom{x^{\,4}\,} -\) |
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| \(\displaystyle \phantom{ 31x^{\,3}1} -\) |
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| \(\displaystyle \phantom{ xx\,} -\) |
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| \(\displaystyle 0\) | |||||||
Найдите недостающий множитель в разложении:
\(\displaystyle 42x^{\,4}-26x^{\,3}+11x^{\,2}+19x-6=(7x-2) \cdot (\)[ ]\(\displaystyle ).\)