Complete the Square x^2-16x+

Problem

x2−16*x+…

Solution

1. Identify the coefficient of the linear term x which is b=−16

2. Divide the coefficient b by 2 to get b/2=(−16)/2=−8

3. Square this result to find the constant needed to complete the square: (−8)2=64

4. Add the constant to the expression to form a perfect square trinomial.

5. Factor the resulting trinomial into the form (x+b/2)2

Final Answer

x2−16*x+64=(x−8)2

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