If I have a base class, with only virtual methods and 2 derived classes from the base class, with those virtual methods implemented.
How do I:
// ca
Your array is of the wrong type: it stores BaseClass object instances instead of pointers to them. Since BaseClass seems to be abstract, the compiler complains that it cannot default-construct instances to fill your array.
Even if BaseClass were not abstract, using arrays polymorphically is a big no-no in C++ so you should do things differently in any case.
Fix this by changing the code to:
BaseClass** base = new BaseClass*[2];
base[0] = new FirstDerivedClass;
base[1] = new SecondDerivedClass;
That said, most of the time it is preferable to use std::vector instead of plain arrays and smart pointers (such as std::shared_ptr) instead of dumb pointers. Using these tools instead of manually writing code will take care of a host of issues transparently at an extremely small runtime cost.