Задание
Найдите частное при делении многочлена \(\displaystyle 63s^{\,13}-27s^{\,10}-36s^{\,7}\) на одночлен \(\displaystyle 9s^{\,4}\) в столбик, при известном процессе деления:
\(\displaystyle -\) | \(\displaystyle \small\color{blue}{\bf 63s^{\,13}}\) | \(\displaystyle -\) | \(\displaystyle \small 27s^{\,10}\) | \(\displaystyle -\) | \(\displaystyle \small 36s^{\,7}\) | \(\displaystyle \small 9s^{\,4}\) | ||
\(\displaystyle \small 63s^{\,13}\) | [ ] | [ ] | [ ] | |||||
\(\displaystyle -\) | \(\displaystyle \small\color{yellowgreen}{\bf -27s^{\,10}}\) | \(\displaystyle -\) | \(\displaystyle \small 36s^{\,7}\) | |||||
\(\displaystyle \small -27s^{\,10}\) | ||||||||
\(\displaystyle -\) | \(\displaystyle \small\color{orange}{\bf -36s^{\,7}}\) | |||||||
\(\displaystyle \small -36s^{\,7}\) | ||||||||
\(\displaystyle \small0\) |
С учетом найденного частного запишите разложение на множители:
\(\displaystyle 63s^{\,13}-27s^{\,10}-36s^{\,7}=9s^{\, 4}\cdot\big(\)[ ]\(\displaystyle \big){\small . }\)