Complete the Square x^2-12x+

Problem

x2−12*x+…

Solution

1. Identify the coefficient of the linear term x which is b=−12

2. Divide the coefficient b by 2 to find the value needed for the binomial square.

b/2=(−12)/2=−6

3. Square this result to find the constant term that completes the square.

(−6)2=36

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

x2−12*x+36

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

(x−6)2

Final Answer

x2−12*x+36=(x−6)2

Want more problems? Check here!