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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlinem2−10m+____m^2 - 10m + \_\_\_\_

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Full solution

Q. Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlinem2−10m+____m^2 - 10m + \_\_\_\_
  1. Identify values of aa, bb, cc: Identify the values of aa, bb, and cc in the quadratic expression m2−10m+?m^2 − 10m + ? by comparing it to the standard quadratic form ax2+bx+cax^2 + bx + c.
    a=1a = 1
    b=−10b = -10
    bb00
  2. Determine completion value: Determine the value needed to complete the square. To complete the square for the expression m2−10mm^2 − 10m, add (b/2)2(b/2)^2 to it.\newlineCalculate (b/2)2(b/2)^2 using b=−10b = -10.\newline(−10/2)2=(−5)2(-10/2)^2 = (-5)^2
  3. Simplify calculation: Simplify the calculation to find the missing number in m2−10m+_(_m^2 - 10m + \_\\(\_\.\newline\)(−5-5)^22 = 2525\(\newlineThe missing number is \)2525$.

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