Question

Add the polynomial expressions 5z−2z2−4z+5 and 6z2+3−7z .(1 point) Responses 9z2−11z+8 9 z squared minus 11 z plus 8 4z2−6z+8 4 z squared minus 6 z plus 8 11z2+z−2 11 z squared plus z minus 2 4z2−z+8

Answer 1

To add the polynomial expressions \(5z - 2z^2 - 4z + 5\) and \(6z^2 + 3 - 7z\), we first rearrange and combine like terms.

1. The first polynomial can be rewritten as:
\[
-2z^2 + (5z - 4z) + 5 = -2z^2 + z + 5
\]

2. The second polynomial can be written as:
\[
6z^2 + (-7z) + 3 = 6z^2 - 7z + 3
\]

Now, let's combine both polynomials:
\[
(-2z^2 + z + 5) + (6z^2 - 7z + 3)
\]

Next, we combine the like terms:
- For the \(z^2\) terms: \(-2z^2 + 6z^2 = 4z^2\)
- For the \(z\) terms: \(z - 7z = -6z\)
- For the constant terms: \(5 + 3 = 8\)

Putting it all together, the sum is:
\[
4z^2 - 6z + 8
\]

So the final answer is:
\[
\boxed{4z^2 - 6z + 8}
\]