Задание

Разделите многочлен \(\displaystyle 35s^{\,4}-28s^{\,3}+29s^{\,2}-12s+6\) на многочлен \(\displaystyle 5s^{\,2}-4s+2\) в столбик:

\(\displaystyle -\) \(\displaystyle \phantom{\small 1}35s^{\,4}-28s^{\, 3}+29s^{\,2}-12s+6\) \(\displaystyle 5s^{\,2}-4s+2\)
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  \(\displaystyle \phantom{s^{\,4}+s^{\,3}zzz\,} -\)
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    \(\displaystyle 0\)

и запишите разложение:

\(\displaystyle 35s^{\,4}-28s^{\,3}+29s^{\,2}-12s+6=(5s^{\,2}-4s+2)\cdot(\)[ ]\(\displaystyle ){\small . }\)