Задание
Найдите частное при делении многочлена \(\displaystyle -52t^{\,18}+39t^{\,12}\) на одночлен \(\displaystyle -13t^{\,11}\) в столбик при известном процессе деления:
| \(\displaystyle -\) | \(\displaystyle \color{blue}{\bf -52t^{\,18}}\) | \(\displaystyle +\) | \(\displaystyle 39t^{\,12}\) | \(\displaystyle -13t^{\,11}\) | |
| \(\displaystyle -52t^{\,18}\) | [ ] | [ ] | |||
| \(\displaystyle -\) | \(\displaystyle \color{yellowgreen}{\bf 39t^{\,12}}\) | ||||
| \(\displaystyle 39t^{\,12}\) | |||||
| \(\displaystyle \small0\) | |||||
С учетом найденного частного запишите разложение на множители:
\(\displaystyle -52t^{\,18}+39t^{\,12}=-13t^{\, 11}\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)