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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlinem2+28m+‾m^2 + 28m + \underline{\hspace{3em}}

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Full solution

Q. Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlinem2+28m+‾m^2 + 28m + \underline{\hspace{3em}}
  1. Identify values: Identify the values of aa, bb, and cc in the quadratic expression.\newlineLeading coefficient (aa): 11\newlineCoefficient of linear term (bb): 2828\newlineConstant (cc): ?
  2. Determine completion: Determine the value needed to complete the square.\newlineTo complete the square for m2+28mm^2 + 28m, add (b/2)2(b/2)^2 to the expression.\newlinePerfect square quadratic: m2+28m+(28/2)2m^2 + 28m + (28/2)^2
  3. Calculate missing value: Calculate (28/2)2(28/2)^2 to find the missing value in m2+28m+_m^2 + 28m + \_.$28/2)2\$28/2)^2=142= 14^2=196= 196

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