Chapter 8 - Linear Differential Equations of Order n - 8.2 Constant Coefficient Homogeneous Linear Differential Equations - True-False Review - Page 513: c

True

We can notice that the given polynomial has degree $n$. It can be sure that a root or more than one root can be repeated. So, the counting the multiplicities of each of those roots are equal to $n$. Therefore, the given statement is true.