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
4z2−6z+8
4 z squared minus 6 z plus 8
4z2−z+8
4 z squared minus z plus 8
9z2−11z+8
To add the polynomial expressions \(5z - 2z^2 - 4z + 5\) and \(6z^2 + 3 - 7z\), we need to combine like terms. Let’s organize the terms by their degree:
\(5z - 2z^2 - 4z + 5\) becomes \(-2z^2 + 1z + 5\)
\(6z^2 + 3 - 7z\) stays the same, as it is already ordered by degree.
Now let’s add the terms of the same degree:
The \(z^2\) terms: \(-2z^2 + 6z^2 = 4z^2\)
The z terms: \(1z - 7z = -6z\)
The constant terms: \(5 + 3 = 8\)
Combine these results to get the final expression:
\[4z^2 - 6z + 8\]
The correct answer is:
4z^2 - 6z + 8
4 z squared minus 6 z plus 8