The polynomial expressions are 3−2p−5p^2 and p^4−3p+4.
To add the polynomials, we combine like terms.
The p^4 term is only present in the second polynomial.
The -5p^2 term is present in both polynomials. Its coefficients are -5 and 0, so the sum is -5p^2.
The -2p term is only present in the first polynomial.
The -3p term is present in both polynomials. Its coefficients are 0 and -3, so the sum is -3p.
The 3 and 4 are constants.
The sum of the terms can therefore be written as:
p^4 - 5p^2 - 3p + 3 + 4
Combining the constants, we have:
p^4 - 5p^2 - 3p + 7
Therefore, the sum of the polynomial expressions is:
p^4 - 5p^2 - 3p + 7
Answer: C. p^4 - 5p^2 - 3p + 7