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−z+8
4 z squared minus z plus 8

11z2+z−2
11 z squared plus z minus 2

4z2−6z+8

4z squared minus 6z plus 8

Which of the following correctly simplifies (9x2+17x+13)−(2x2+12x+11)

?(1 point)
Responses

7x2+5x+2
7 x squared plus 5 x plus 2

9x2+17x+13−2x2−12x−11
9 x squared plus 17 x plus 13 minus 2 x squared minus 12 x minus 11

7x2+29x+24
7 x squared plus 29 x plus 24

12x2+2

7x2+5x+2

To add the polynomial expressions 5z−2z^2−4z+5 and 6z^2+3−7z, combine like terms by adding the coefficients of the same power of z.

First, let's combine the z^2 terms:
-2z^2 + 6z^2 = 4z^2

Next, let's combine the z terms:
5z - 4z - 7z = 5z - 4z - 7z = -6z

Finally, let's combine the constant terms:
5 + 3 = 8

Therefore, the sum of the polynomial expressions is 4z^2 - 6z + 8.