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 −5p2−4p+7 negative 5 p squared minus 4 p plus 7 p4−5p2−6p+7 p superscript 4 baseline minus 5 p squared minus 6 p plus 7 −4p2−5p+7

Answer 1

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

1. Start with the first polynomial:
\[
3 - 2p - 5p^2
\]

2. Now, add the second polynomial:
\[
+ (p^4 - 3p + 4)
\]

3. Combine the like terms:
- The highest degree term is \(p^4\).
- The \(p^2\) term is \(-5p^2\).
- The \(p\) terms are \(-2p - 3p = -5p\).
- The constant terms are \(3 + 4 = 7\).

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

The final answer is:
\[
p^4 - 5p^2 - 5p + 7
\]

So the correct response from the given options is:
\[
p^4 - 5p^2 - 5p + 7
\]