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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. $\newline$ $t^2 - 8t + \_\_\_\_$

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Complete the square

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Q. Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

\newline

t^2 - 8t + \_\_\_\_

Identify values: Identify the values of $a$ , $b$ , and $c$ in the polynomial $t^2 − 8t + \_$ . $\_\\(\_$ \. Comparing \)t^ $2$ − $8$ t + ? $with the standard quadratic form$ ax^ $2$ + bx + c $, we find:$ a = $1$ b = $-8$ c = ?$
Determine completion value: Determine the value needed to complete the square.\(\newline\)To complete the square for the expression \(t^2 - 8t\), we need to add \((b/2)^2\).\(\newline\)Here, \(b = -8\), so we calculate \((-8/2)^2\).
Perform calculation: Perform the calculation to find the missing number. \((-\frac{8}{2})^2 = (-4)^2 = 16\) So, the missing number that completes the square is \(16\).

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