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