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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlinef2−30f+_____f^2 - 30f + \_\_\_\_\_

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Q. Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlinef2−30f+_____f^2 - 30f + \_\_\_\_\_
  1. Identify coefficients: Identify the values of aa, bb, and cc in the quadratic expression.\newlineLeading coefficient (aa): 11\newlineCoefficient of linear term (bb): −30-30\newlineConstant (cc): ??
  2. Complete the square: Determine the value needed to complete the square.\newlineTo complete the square for f2−30ff^2 - 30f, add (−302)2\left(-\frac{30}{2}\right)^2.\newlinePerfect square quadratic: f2−30f+(−302)2f^2 - 30f + \left(-\frac{30}{2}\right)^2
  3. Calculate missing value: Calculate (−30/2)2(-30/2)^2 to find the missing value in f2−30f+___f^2 − 30f + \_\_\_.\newline(−30/2)2(-30/2)^2\newline=(−15)2= (-15)^2\newline=225= 225

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