## Simplifying the Rational Expression (m^2 - 3m - 7)/(m + 2)

This article will guide you through the process of simplifying the rational expression **(m^2 - 3m - 7)/(m + 2)**.

### Understanding Rational Expressions

A rational expression is a fraction where the numerator and denominator are both polynomials. To simplify a rational expression, we aim to factor both the numerator and denominator and cancel out any common factors.

### Factoring the Numerator

The numerator, **m^2 - 3m - 7**, is a quadratic expression. It is not easily factorable using traditional methods, so we can't simplify it further.

### Factoring the Denominator

The denominator, **m + 2**, is already in its simplest factored form.

### Simplifying the Expression

Since the numerator cannot be factored, the entire expression is already in its simplest form:

**(m^2 - 3m - 7)/(m + 2)**

### Important Note: Restrictions on the Variable

Remember that a fraction is undefined when the denominator is zero. Therefore, **m cannot be equal to -2**. We express this restriction as **m ≠ -2**.

### Conclusion

The simplified form of the rational expression (m^2 - 3m - 7)/(m + 2) is **(m^2 - 3m - 7)/(m + 2)**, with the restriction **m ≠ -2**.