Add the polynomial expressions 3 minus 2 p minus 5 p squared p superscript 4 baseline minus 3 p plus 4

Answer 1

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

1. Constant terms: \(3 + 4 = 7\)
2. Linear terms: \(-2p - 3p = -5p\)
3. Quadratic terms: \(-5p^2\) (there’s no other \(p^2\) term)
4. Quartic term: \(p^4\) (there’s no other \(p^4\) term)

Now, we can write the final expression by putting all like terms together:

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

So, the sum of the polynomial expressions is:

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