Add the polynomial expressions 3 - 2p – 5p²

To add the polynomial expressions \(3 - 2p - 5p^2\) and \(p^2 - 3p + 4\), we follow these steps:

1. **Write the two expressions together**:
\[
(3 - 2p - 5p^2) + (p^2 - 3p + 4)
\]

2. **Combine like terms**:
- **Constant terms**: \(3 + 4 = 7\)
- **Linear terms**: \(-2p - 3p = -5p\)
- **Quadratic terms**: \(-5p^2 + p^2 = -4p^2\)

Now we can write the resulting polynomial:
\[
-4p^2 - 5p + 7
\]

Thus, the answer is:
\[
\boxed{-4p^2 - 5p + 7}
\]