Question
Add the polynomial expressions 5z−2z2−4z+5 and 6z2+3−7z .(1 point)
Responses
11z2+z−2
11 z squared plus z minus 2
9z2−11z+8
9 z squared minus 11 z plus 8
4z2−z+8
Responses
11z2+z−2
11 z squared plus z minus 2
9z2−11z+8
9 z squared minus 11 z plus 8
4z2−z+8
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To add the polynomial expressions \(5z - 2z^2 - 4z + 5\) and \(6z^2 + 3 - 7z\), we first simplify each expression before combining them.
1. **Simplify the first polynomial:**
\[
5z - 4z - 2z^2 + 5 = (5z - 4z) + (-2z^2) + 5 = z - 2z^2 + 5
\]
Rearranging gives:
\[
-2z^2 + z + 5
\]
2. **Combine with the second polynomial:**
\[
(-2z^2 + z + 5) + (6z^2 - 7z + 3)
\]
3. **Combine like terms:**
- For \(z^2\) terms: \(-2z^2 + 6z^2 = 4z^2\)
- For \(z\) terms: \(z - 7z = -6z\)
- For constant terms: \(5 + 3 = 8\)
4. **Final result:**
\[
4z^2 - 6z + 8
\]
Since this does not match any of the given options, please verify the options or provide additional context.
1. **Simplify the first polynomial:**
\[
5z - 4z - 2z^2 + 5 = (5z - 4z) + (-2z^2) + 5 = z - 2z^2 + 5
\]
Rearranging gives:
\[
-2z^2 + z + 5
\]
2. **Combine with the second polynomial:**
\[
(-2z^2 + z + 5) + (6z^2 - 7z + 3)
\]
3. **Combine like terms:**
- For \(z^2\) terms: \(-2z^2 + 6z^2 = 4z^2\)
- For \(z\) terms: \(z - 7z = -6z\)
- For constant terms: \(5 + 3 = 8\)
4. **Final result:**
\[
4z^2 - 6z + 8
\]
Since this does not match any of the given options, please verify the options or provide additional context.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.