In this question, you're using synthetic division to solve the problem.
Use synthetic division:
___________
-3 | 1 2 -2 3
First. you have to drop the 1, and then solve:
___________
-3 | 1 2 -2 3
↓
1
___________
-3 | 1 2 -2 3
-3
1
___________
-3 | 1 2 -2 3
-3
1 -1
___________
-3 | 1 2 -2 3
-3 3
1 -1
___________
-3 | 1 2 -2 3
-3 3
1 -1 1
___________
-3 | 1 2 -2 3
-3 3 -3
1 -1 1
___________
-3 | 1 2 -2 3
-3 3 -3
1 -1 1 0
x² x c r
When you're done solving, turn it into polynomial form:
x² - x + 1
Answer:
x² - x + 1