1 answer
(click or scroll down)
To add the polynomial expressions \(3 - 2p - 5p^2\) and \(p^4 - 3p + 4\), we start by writing them together:
\[
(3 - 2p - 5p^2) + (p^4 - 3p + 4)
\]
Next, we combine like terms:
1. The \(p^4\) term: \(p^4\)
2. The \(p^2\) term: \(-5p^2\)
3. The \(p\) terms: \(-2p - 3p = -5p\)
4. The constant terms: \(3 + 4 = 7\)
Now we can write the combined polynomial:
\[
p^4 - 5p^2 - 5p + 7
\]
So, the final expression is:
\[
p^4 - 5p^2 - 5p + 7
\]
The correct response is:
**p⁴ - 5p² - 5p + 7**.