Answer:
2x - 3
Step-by-step explanation:
The are of a rectangle is computed using the formula:
A = L x W
The area given is:
2x² + 5x -12
So:
2x² + 5x -12 = L x (x + 4)
[tex]L=\dfrac{2x^{2}+5x-12}{x+4}\\\\[/tex]
So we can solve this through division:
2x - 3
x + 4 | 2x² + 5x - 12
- 2x² + 8x
-3x - 12
- -3x - 12
0