Add the polynomial expressions 3−2p−5p^2 and p^4−3p+4 .

To add the polynomial expressions \( 3 - 2p - 5p^2 \) and \( p^4 - 3p + 4 \), we need to combine like terms.

1. Start by writing the two polynomials vertically, aligning like terms:

\[
\begin{array}{r}
3 \\
-2p \\
-5p^2 \\
+ p^4 \\
-3p \\
+4 \\
\end{array}
\]

2. Now, add the polynomials term by term:

- The \( p^4 \) term: \( 0 + p^4 = p^4 \)
- The \( p^2 \) term: \( -5p^2 + 0 = -5p^2 \)
- The \( p \) term: \( -2p - 3p = -5p \)
- The constant term: \( 3 + 4 = 7 \)

3. Combine them together:

\[
p^4 - 5p^2 - 5p + 7
\]

So the final result after adding the two polynomial expressions is:

\[
p^4 - 5p^2 - 5p + 7
\]

Thus, the correct answer is:

**A, \( p^4 - 5p^2 - 5p + 7 \)**.