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: \( p^4 - 5p^2 - 5p + 7 \).