You can
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(n³ + 9n² - 7n + 23)÷(n + 10)
n² - n + 3
n + 10) n³ + 9n² - 7n + 23
-(n³ + 10n²)
-n² - 7n
-(-n² - 10n)
3n + 23
-(3n + 30)
-7
Answer: n² - n + 3 +
or
n² - n + 3 -
or you can do it by synthetic division:
-10|1 9 -7 23
| -10 10 -30
1 -1 3 -7
Same answer.
Edwin