Answer:
4 th option
Step-by-step explanation:
Using synthetic division to find the quotient
- 2 | 1 - 4 + 5 - 2
↓ - 2 + 12 - 34
------------------------------
1 - 6 + 17 - 36 ← remainder
The quotient is x² - 6x + 17
Then
[tex]\frac{x^3-4x^2+5x-2}{x+2}[/tex] = x² - 6x + 17 - [tex]\frac{36}{x+2}[/tex]
