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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlineu2+16u+____u^2 + 16u + \_\_\_\_

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Q. Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlineu2+16u+____u^2 + 16u + \_\_\_\_
  1. Identify coefficients: Identify the values of aa, bb, and cc in the polynomial u2+16u+?u^2 + 16u + ? by comparing it to the standard quadratic form ax2+bx+cax^2 + bx + c.$a=1\$a = 1\)$b=16\$b = 16\)$c=?\$c = ?\)
  2. Find value to add: Determine the value needed to complete the square. To complete the square for the expression u2+16uu^2 + 16u, add (b/2)2(b/2)^2 to it.\newlineThe value to add is (16/2)2(16/2)^2.
  3. Calculate missing number: Calculate (162)2(\frac{16}{2})^2 to find the missing number in u2+16u+u^2 + 16u + _____.\newline(162)2=(8)2=64(\frac{16}{2})^2 = (8)^2 = 64\newlineThe missing number is 6464.

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