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