Consider the field extension `QQ(e^10)` of `QQ`, where e is the base of the natural logarithm. Which of the following statements is true?
A) p(x) is reducible over `Q(e^10)` because `e^2` is a root of p(x) and `Q(e^10)` contains all rational functions of `e^10`.
B) p(x) is irreducible over `Q(e^10)` because `e^2, e^4, e^6`, and `e^8` are not elements of `Q(e^10)`, despite `e^2` being a root of p(x). ?