Add the polynomial expressions 3−2p−5p2 and p4−3p+4 .(1 point)

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

1. **Identify and write the expressions:**
- First expression: \( 3 - 2p - 5p^2 \)
- Second expression: \( p^4 - 3p + 4 \)

2. **Rearrange both expressions in order of descending powers of \( p \):**
- First expression: \( -5p^2 - 2p + 3 \)
- Second expression: \( p^4 - 3p + 4 \)

3. **Combine the polynomial expressions:**
- Combine the \( p^4 \) terms: \( 0 + p^4 = p^4 \)
- Combine the \( p^2 \) terms: \( -5p^2 + 0 = -5p^2 \)
- Combine the \( p \) terms: \( -2p - 3p = -5p \)
- Combine the constant terms: \( 3 + 4 = 7 \)

4. **Write the result:**
\[
p^4 - 5p^2 - 5p + 7
\]

From the options provided, the correct answer is:
**\( p^4 - 5p^2 - 5p + 7 \)**.