Задание
Разделите многочлен \(\displaystyle u^{\,3}+5u^{\,2}-18u-18\) на многочлен \(\displaystyle u^{\,2}+8u+6\) в столбик:
| \(\displaystyle -\) | \(\displaystyle \phantom{\,\,}u^{\,3}+5u^{\,2}-18u-18\phantom{zz}\) | \(\displaystyle u^{\,2}+8u+6\) | |||||
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[ ] | ||||||
| \(\displaystyle \phantom{ x\,\,} -\) |
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| \(\displaystyle 0\phantom{zz}\) | |||||||
и запишите разложение:
\(\displaystyle u^{\,3}+5u^{\,2}-18u-18=(\,u^{\,2}+8u+6)\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)