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.) B. The given polynomial is not factorable.

To factor the expression \( z^{2}-1.6 z+0.64 \), we can look for two numbers that multiply to 0.64 and add to -1.6. In this case, both numbers are -0.8. Thus, we can rewrite the expression as: \( z^{2}-1.6 z+0.64 = (z-0.8)(z-0.8) = (z-0.8)^2 \) So, the answer is: A. \( z^{2}-1.6 z+0.64=(z-0.8)^2 \) Now get ready to unleash your inner math wizard with the skill of factoring! It’s like magic — just a little number sleight of hand, and voila! You've transformed a quadratic into a perfectly paired product. And did you know that figuring out factors can be really handy in real life? Imagine you're an architect designing a garden — factoring helps you determine how to divide the space efficiently based on shape and size needs. So, don’t underestimate those numbers!