Задание
Разделите многочлен \(\displaystyle y^{\,3}+6y^{\,2}+2y-21\) на многочлен \(\displaystyle y^{\,2}+3y-7\) в столбик:
| \(\displaystyle -\) | \(\displaystyle \phantom{\,\,}y^{\,3}+6y^{\,2}+2y-21\) | \(\displaystyle y^{\,2}+3y-7\) | |||||
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| \(\displaystyle \phantom{ x\,\,} -\) |
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| \(\displaystyle 0\phantom{ x}\) | |||||||
и запишите разложение:
\(\displaystyle y^{\,3}+6y^{\,2}+2y-21=(\,y^{\,2}+3y-7)\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)