## Introductory Algebra for College Students (7th Edition)

$\displaystyle \frac{x+1}{x+2}$ (sample answer)
In order to simplify, we have to 1. Factor the numerator and the denominator completely. 2. Divide both the numerator and the denominator by any common factors. So, we find two polynomials that have no common factors, say, $(x+1)$ and $(x+2).$ $\displaystyle \frac{x+1}{x+2}$ (sample answer)