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

To add the polynomials \(3 - 2p - 5p^2\) and \(p^4 - 3p + 4\), we align like terms:

1. Start with the polynomial expressions:
\[
(3 - 2p - 5p^2) + (p^4 - 3p + 4)
\]

2. Combine the terms:
- The \(p^4\) term is from the second polynomial: \(p^4\)
- The \(p^2\) term is from the first polynomial: \(-5p^2\)
- The \(p\) terms are \(-2p\) and \(-3p\), which combine to \(-5p\)
- The constant terms are \(3\) from the first polynomial and \(4\) from the second polynomial; together they sum to \(7\).

3. Putting it all together, we get:
\[
p^4 - 5p^2 - 5p + 7
\]

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

This matches the first response option provided: \(p^4 - 5p^2 - 5p + 7\).