Respuesta :

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