Задание
Разделите многочлен \(\displaystyle w^{\,4}+11w^{\, 3}+30w^{\,2}+3w-20\) на многочлен \(\displaystyle w+4\) в столбик:
| \(\displaystyle -\) | \(\displaystyle \phantom{\,\,}w^{\,4}+11w^{\, 3}+30w^{\,2}+3w-20\) | \(\displaystyle w+4\) | |||||
[ ] |
[ ] | ||||||
| \(\displaystyle \phantom{1xx} -\) |
[ ] | ||||||
[ ] | |||||||
| \(\displaystyle \phantom{ x^{\,3}xx\,} -\) |
[ ] | ||||||
[ ] | |||||||
| \(\displaystyle \phantom{ xxx} -\) |
[ ] | ||||||
| [ ] | |||||||
| \(\displaystyle 0\,\,\) | |||||||
Найдите недостающий множитель в разложении:
\(\displaystyle w^{\,4}+11w^{\, 3}+30w^{\,2}+3w-20=(w+4) \cdot (\)[ ]\(\displaystyle ).\)