Add the polynomial expressions 3−2p−5p exponent2 and p exponent4−3p+4.(1 point)

Question

Responses

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

p4−5p2−5p+7
p superscript 4 baseline minus 5 p squared minus 5 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 first rewrite them to align similar terms:

1. The first polynomial:
   $3-2p-5p^2$ can be written as $-5p^2-2p+3$.

2. The second polynomial:
   $p^4-3p+4$ can be maintained as it is.

Now, we combine the two polynomials:

$$(-5p^2-2p+3)+(p^4-3p+4)$$

Taking each term and adding like terms:

• $p^4$ terms: $1$ from the second polynomial, so we keep it as $p^4$.
• $p^2$ terms: $-5$ from the first polynomial, so we keep it as $-5p^2$.
• $p$ terms: $-2p-3p=-5p$.
• Constant terms: $3+4=7$.

Combining them gives us the final result:

$$p^4-5p^2-5p+7$$

The correct response is:
$p^4-5p^2-5p+7$.

Answer 2

is it A,B,C,or D?

Answer 3

The correct answer based on the polynomial addition is:

B: $p^4-5p^2-5p+7$.