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

Answer 1

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

Starting with the first expression: \[ 5z - 2z^2 - 4z + 5 = -2z^2 + (5z - 4z) + 5 = -2z^2 + z + 5 \]

Now adding the second expression: \[ 6z^2 + 3 - 7z \]

Now we combine both: \[ (-2z^2 + z + 5) + (6z^2 - 7z + 3) \]

Next, we combine the like terms:

• For \( z^2 \): \( -2z^2 + 6z^2 = 4z^2 \)
• For \( z \): \( z - 7z = -6z \)
• For the constant terms: \( 5 + 3 = 8 \)

Putting it all together, we get: \[ 4z^2 - 6z + 8 \]

Therefore, the answer is: 4z^2 - 6z + 8.