Simplify the rational expression.2x2 − x − 282x2 + 5x − 7

To simplify the rational expression, we first factor the numerator and the denominator.

The numerator 2x^2 - x - 28 can be factored into (2x + 7)(x - 4).

The denominator 2x^2 + 5x - 7 can be factored into (2x - 1)(x + 7).

So, the expression becomes:

(2x + 7)(x - 4) / (2x - 1)(x + 7)

Now, we can cancel out the common factors in the numerator and the denominator. In this case, (2x + 7) is a common factor.

So, the simplified rational expression is:

(x - 4) / (2x - 1)