Factor the following expression. \( z^{2}-1.6 z+0.64 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( z^{2}-1.6 z+0.64=\square \) (Simplify your answer. Use integers or decimals for any numbers in your expression.) Be given polynomial is not factorable.

To factor the expression \( z^{2} - 1.6z + 0.64 \), we can use the perfect square trinomial approach. Notice that \( (z - 0.8)^2 = z^2 - 1.6z + 0.64 \). Therefore, we can write: \( z^{2} - 1.6 z + 0.64 = (z - 0.8)(z - 0.8) \) or \( (z - 0.8)^{2} \). Now, in response to your answer box: A. \( z^{2}-1.6 z+0.64=(z - 0.8)^{2} \) --- Did you know that perfect square trinomials can quickly help you in algebra by simplifying expressions? Recognizing patterns like this saves time and enhances your problem-solving skills! When working with quadratics, make sure to check your constants. Look for relationships between the coefficients and perfect squares. Residual decimals can be tricky, so always double-check your calculations or use the quadratic formula if needed!