Question

Add the polynomial expressions 3−2p−5p2 and p4−3p+4 .(1 point) Responses p4−5p2−5p+7 p superscript 4 baseline minus 5 p squared minus 5 p plus 7 p4−5p2−6p+7 p superscript 4 baseline minus 5 p squared minus 6 p plus 7 −4p2−5p+7 negative 4 p squared minus 5 p plus 7 −5p2−4p+7

Answer 1

To add the polynomial expressions \(3 - 2p - 5p^2\) and \(p^4 - 3p + 4\), we need to combine like terms, starting with writing them out together:

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

Now, let's arrange the terms by their degrees:

1. \(p^4\)
2. \(-5p^2\)
3. \(-2p - 3p = -5p\)
4. \(3 + 4 = 7\)

Now we can write the combined expression by grouping all terms:

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

Thus, the final result is:

\[
\boxed{p^4 - 5p^2 - 5p + 7}
\]