Add the polynomial expressions 3−2p−5p^2 and p^4−3p+4 .(1 point)

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

1. Write down both polynomials:

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

2. Combine them into one expression:

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

3. Rearrange and group like terms:

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

4. Combine the coefficients:

- For \(p^4\): just \(p^4\)
- For \(p^2\): \(-5p^2\)
- For \(p\): \(-2p - 3p = -5p\)
- Constant: \(3 + 4 = 7\)

5. Putting it all together, we get:

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

So the answer is:

**D**: \(p^4 - 5p^2 - 5p + 7\)