Question

simplify the expression.
7.1z² + 4.2 + 9z - 0.7 - 3z + z²
7.1z² + 4.2 + 9z - 0.7 - 3z + z² = \square
(use the operation symbols in the math palette as needed. simpl

Explanation:

Step1: Combine like terms for \( z^2 \)

We have \( 7.1z^2 \) and \( z^2 \). Combining them, we get \( 7.1z^2 + z^2 = (7.1 + 1)z^2 = 8.1z^2 \).

Step2: Combine like terms for \( z \)

We have \( 9z \) and \( -3z \). Combining them, we get \( 9z - 3z = (9 - 3)z = 6z \).

Step3: Combine like terms for constants

We have \( 4.2 \) and \( -0.7 \). Combining them, we get \( 4.2 - 0.7 = 3.5 \).

Step4: Combine all simplified terms

Putting it all together, we have \( 8.1z^2 + 6z + 3.5 \).

Answer:

\( 8.1z^2 + 6z + 3.5 \)