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 will combine like terms.

1. Start by writing both polynomials:

\[
3 - 2p - 5p^2
\]
\[
p^4 - 3p + 4
\]

2. Now, arrange them and add them together:

\[
(3 + 4) + (-2p - 3p) + (-5p^2) + p^4
\]

3. Combine the constant terms:

\[
3 + 4 = 7
\]

4. Combine the \(p\) terms:

\[
-2p - 3p = -5p
\]

5. The \(p^2\) term remains:

\[
-5p^2
\]

6. The \(p^4\) term remains:

\[
p^4
\]

7. Now, put it all together by arranging the terms in descending order of power:

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

So, the final expression after adding the two polynomials is:

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

The correct answer from the options you provided is:

**p^4 - 5p^2 - 5p + 7**.