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Answer:
A
Step-by-step explanation:
4x + 1 ← quotient
----------------------
x + 2 | 4x² + 9x - 34
4x² + 8x ← subtract from line above
-------------------------
x - 34
x + 2 ← subtract from line above
-------------------------
- 36 ← remainder
Then
[tex]\frac{4x^1+9x-34}{x+2}[/tex] = 4x + 1 + [tex]\frac{-36}{x+2}[/tex] → A