Answer:
The quotient of (2x³ + x² - x - 4) ÷ (x + 4) is 2x^2 - 7x + 17, and the remainder is 27x - 4.
Explanation:
2x^2 - 7x + 17
x + 4 | 2x^3 + x^2 - x - 4
- (2x^3 + 8x^2)
---------------
-7x^2 - x
+ (-7x^2 - 28x)
-------------
27x - 4
Therefore, the quotient of (2x³ + x² - x - 4) ÷ (x + 4) is 2x^2 - 7x + 17, and the remainder is 27x - 4.