Question

Add the polynomial expressions 3 - 2p - 5p2 and pt - 3p + 4. (1 point)
0 p - 5p - 5p + 7
0 p - 5p' - 6p + 7
0 -5p - 4p +7
0-4p - 5p +7

Answer 1

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

Here are the steps:

1. Write the two expressions:
\[
(3 - 2p - 5p^2) + (p^t - 3p + 4)
\]

2. Combine like terms.
- The constant terms: \(3 + 4 = 7\)
- The \(p\) terms: \(-2p - 3p = -5p\)
- The \(p^2\) term is \(-5p^2\), and \(p^t\) is treated as distinct if we assume \(t\) is not equal to 2.

Combining everything, we get:
\[
7 - 5p - 5p^2 + p^t
\]

So, the final result is:
\[
-5p^2 + p^t - 5p + 7
\]

None of the provided options exactly matches the final result, but if \(p^t\) is considered a typographical error and meant to be \(0\) (or ignored), your answer would primarily focus on \(7 - 5p - 5p^2\).

If we assume \(p^t\) can be "zeroed out" for the context of the provided options, then we'd finalize it as:
\[
-5p - 5p^2 + 7
\]

However, based on available selections and common polynomial forms, clarification on \(pt\) is suggested to resolve any misinterpretations in provided comparisons.