Задание
Разделите многочлен \(\displaystyle 35s^{\,4}-28s^{\,3}+29s^{\,2}-12s+6\) на многочлен \(\displaystyle 5s^{\,2}-4s+2\) в столбик:
\(\displaystyle -\) | \(\displaystyle \phantom{\small 1}35s^{\,4}-28s^{\, 3}+29s^{\,2}-12s+6\) | \(\displaystyle 5s^{\,2}-4s+2\) | |||||
[ ] |
[ ] | ||||||
\(\displaystyle \phantom{s^{\,4}+s^{\,3}zzz\,} -\) |
[ ] | ||||||
[ ] | |||||||
\(\displaystyle 0\) |
и запишите разложение:
\(\displaystyle 35s^{\,4}-28s^{\,3}+29s^{\,2}-12s+6=(5s^{\,2}-4s+2)\cdot(\)[ ]\(\displaystyle ){\small . }\)