[QUE/VS-11002]

Consider the operator \[  A p(t) = \frac{d p(t)}{dt}, \quad \text{on } P^3(t).\]  Is the subspace \(P^2(t) \) an invariant  subspace of the operator \(A\)?  Notation: \(P^n(t) \) is space of all polynomials of degree less than or equal to \(n\).