Задание
Разделите многочлен \(\displaystyle 40x^{\,4}-13x^{\, 3}+17x^{\,2}-26x+3\) на многочлен \(\displaystyle -8x+1\) в столбик:
\(\displaystyle -\) | \(\displaystyle \phantom{\,\,}40x^{\,4}-13x^{\, 3}+17x^{\,2}-26x+3\) | \(\displaystyle -8x+1\) | |||||
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\(\displaystyle \phantom{2x^{\,4}} -\) |
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\(\displaystyle \phantom{ x^{\,3}x\,} -\) |
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\(\displaystyle \phantom{ xx\,\,} -\) |
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\(\displaystyle 0\) |
Найдите недостающий множитель в разложении:
\(\displaystyle 40x^{\,4}-13x^{\, 3}+17x^{\,2}-26x+3=(-8x+1) \cdot (\)[ ]\(\displaystyle ).\)