## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$$2x+1$$
In order to solve this problem, we look for common factors in the numerator and the denominator. Doing this, we obtain: $$\frac{2x^2-5x-3}{x-3}\\ \frac{\left(2x+1\right)\left(x-3\right)}{x-3}\\ 2x+1$$