Задание
Разделите многочлен \(\displaystyle -15w^{\,4}+42w^{\, 3}-29w^{\,2}+39w-28\) на многочлен \(\displaystyle -5w+4\) в столбик:
\(\displaystyle -\) | \(\displaystyle \phantom{\,}-15w^{\,4}+42w^{\, 3}-29w^{\,2}+39w-28\) | \(\displaystyle -5w+4\) | |||||
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\(\displaystyle \phantom{22x^{\,4}x\,} -\) |
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\(\displaystyle \phantom{ x^{\,3}+\,\,} -\) |
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\(\displaystyle \phantom{ xxxx\,\,} -\) |
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\(\displaystyle 0\) |
Найдите недостающий множитель в разложении:
\(\displaystyle -15w^{\,4}+42w^{\, 3}-29w^{\,2}+39w-28=(-5w+4) \cdot (\)[ ]\(\displaystyle ).\)