Задание
Разделите многочлен \(\displaystyle -s^{\,3}-10s^{\,2}-16s+15\) на многочлен \(\displaystyle -s^{\,2}-7s+5\) в столбик:
| \(\displaystyle -\) | \(\displaystyle \phantom{\,\,}-s^{\,3}-10s^{\,2}-16s+15\) | \(\displaystyle -s^{\,2}-7s+5\) | |||||
[ ] |
[ ] | ||||||
| \(\displaystyle \phantom{ xx\,} -\) |
[ ] | ||||||
[ ] | |||||||
| \(\displaystyle 0\phantom{z}\) | |||||||
и запишите разложение:
\(\displaystyle -s^{\,3}-10s^{\,2}-16s+15=(-s^{\,2}-7s+5)\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)