Задание
Разделите многочлен \(\displaystyle v^{\,3}-7v^{\,2}+90\) на многочлен \(\displaystyle v+3\) в столбик:
| \(\displaystyle -\) | \(\displaystyle \phantom{\,\,}v^{\,3}-7v^{\,2}+90\) | \(\displaystyle v+3\) | |||||
[ ] |
[ ] | ||||||
| \(\displaystyle -\) |
[ ] | ||||||
[ ] | |||||||
| \(\displaystyle \phantom{ xxx} -\) |
[ ] | ||||||
| [ ] | |||||||
| \(\displaystyle 0\) | |||||||
и запишите разложение:
\(\displaystyle v^{\,3}-7v^{\,2}+90=(v+3)\cdot \big(\)[ ]\(\displaystyle \big).\)