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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlinet2−8t+____t^2 - 8t + \_\_\_\_

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Q. Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlinet2−8t+____t^2 - 8t + \_\_\_\_
  1. Identify values: Identify the values of aa, bb, and cc in the polynomial t2−8t+_t^2 − 8t + \_._(_\_\\(\_\. Comparing \)t^22 − 88t + ?withthestandardquadraticform with the standard quadratic form ax^22 + bx + c,wefind:, we find: a = 11 b = −8-8 c = ?$
  2. 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 \((-8/2)^2\).
  3. 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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