Задание
Разделите многочлен \(\displaystyle 30v^{\,4}+46v^{\, 3}+35v^{\,2}+2v-3\) на многочлен \(\displaystyle 10v^{\,2}+2v-1{\small :}\)
| \(\displaystyle -\) | \(\displaystyle \phantom{\,\,}30v^{\,4}+46v^{\, 3}+35v^{\,2}+2v-3\) | \(\displaystyle 10v^{\,2}+2v-1\) | |||||
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| \(\displaystyle \phantom{ 30v^{\,4}} -\) |
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| \(\displaystyle \phantom{ v^{\,4}s\,} -\) |
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| \(\displaystyle 0\) | |||||||
Найдите недостающий множитель в разложении:
\(\displaystyle 30v^{\,4}+46v^{\, 3}+35v^{\,2}+2v-3=(10v^{\,2}+2v-1) \cdot (\)[ ]\(\displaystyle ).\)