Did you know that the expression you provided can be rewritten in a more standard form? By combining the polynomial and the rational term, you can set it up for easier analysis or simplification. Finding a common denominator would give you the ability to identify critical points and even plot the function more effectively!

Also, when working on expressions like this, a common mistake is to overlook the impact of asymptotes caused by rational components. In this case, notice that creates a vertical asymptote. Always check around such values; they can dramatically affect the behavior of your function!