Найдите частное при делении многочлена \(\displaystyle -60w^{\,21}+45w^{\,17}-90w^{\,10}\) на одночлен \(\displaystyle -15w^{\,8}\) в столбик и восстановите процесс деления:

\(\displaystyle -\)

\(\displaystyle -60w^{\,21}\)

\(\displaystyle +\)

\(\displaystyle 45w^{\,17}\)

\(\displaystyle -\)

\(\displaystyle 90w^{\,10}\)

\(\displaystyle -15w^{\,8}\)

[ ]

[ ]

[ ]

[ ]

\(\displaystyle -\)

[ ]

[ ]

\(\displaystyle -\)

[ ]

[ ]

\(\displaystyle 0\)

С учетом известного частного запишите разложение на множители:

\(\displaystyle -60w^{\,21}+45w^{\,17}-90w^{\,10}=-15w^{\, 8}\cdot\big(\)[ ]\(\displaystyle \big)\)