Question

add the polynomial expression 3 - 2p - 5p^2 and p^4 - 3p + 4

Answer 1

To add the polynomial expressions \(3 - 2p - 5p^2\) and \(p^4 - 3p + 4\), we simply combine like terms.

1. Start with the first polynomial:
\[
3 - 2p - 5p^2
\]

2. Add the second polynomial:
\[
+ (p^4 - 3p + 4)
\]

3. Combine like terms:
- The \(p^4\) term: \(p^4\)
- The \(p^2\) term: \(-5p^2\)
- The \(p\) terms: \(-2p - 3p = -5p\)
- The constant terms: \(3 + 4 = 7\)

Putting it all together, we have:
\[
p^4 - 5p^2 - 5p + 7
\]

So, the sum of the polynomials is:
\[
\boxed{p^4 - 5p^2 - 5p + 7}
\]