Answer
When it is long and tedious to use the other method, it can be better to use the remainder theorem.
Work Step by Step
Recall, both methods will work and will allow you to eventually find the right answer. In math, however, it is important to remember that some methods, while effective, are tedious, time-consuming, and increase the likelihood of a mistake. Thus, it is best to use the remainder theorem rather than substitution when substituting is a tedious process.
