Complete the Square x^2-8x+

Problem

x2−8*x+…

Solution

1. Identify the coefficient of the linear term x which is b=−8

2. Divide the coefficient b by 2 to find the value to be squared.

b/2=(−8)/2=−4

3. Square this result to determine the constant term needed to complete the square.

(−4)2=16

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

x2−8*x+16

5. Rewrite the trinomial as the square of a binomial.

(x−4)2

Final Answer

x2−8*x+16=(x−4)2

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