Question

Add the polynomial expressions 3−2p−5p2 and p4−3p+4.(1 point)%0D%0AResponses%0D%0A%0D%0A−4p2−5p+7%0D%0Anegative 4 p squared minus 5 p plus 7%0D%0A%0D%0Ap4−5p2−6p+7%0D%0Ap superscript 4 baseline minus 5 p squared minus 6 p plus 7%0D%0A%0D%0Ap4−5p2−5p+7%0D%0Ap superscript 4 baseline minus 5 p squared minus 5 p plus 7%0D%0A%0D%0A−5p2−4p+7

Answer 1

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

1. Start by rewriting both polynomials: $$(3-2p-5p^2)+(p^4-3p+4)$$

2. Rearranging the terms, we get: $$p^4-5p^2+(-2p-3p)+(3+4)$$

3. Now, combine the like terms:

   • The $p^4$ term remains $p^4$.
   • The $p^2$ term is $-5p^2$.
   • For the $p$ terms, $-2p-3p=-5p$.
   • The constant terms $3+4=7$.

4. Putting it all together: $$p^4-5p^2-5p+7$$

Therefore, the final result is: $$p^4-5p^2-5p+7$$

So the correct response is: $$p^4-5p^2-5p+7$$