Answer:
(x - 2)
Step-by-step explanation:
Given expression is,
[tex]\frac{x^3+3x^2-4x-12}{x^2+5x+6}[/tex]
We have to find the quotient.
x² + 5x + 6) x³ + 3x² - 4x - 12(x - 2
x³ + 5x² + 6x
-2x² - 10x - 12
-2x² - 10x - 12
0
Therefore, quotient of the given expression will be (x - 2).
