Complete the Square x^2+2x+

Problem

x2+2*x+…

Solution

1. Identify the coefficient of the linear term x which is b=2

2. Divide the coefficient b by 2 to find the value b/2=2/2=1

3. Square the result of the division to find the constant needed to complete the square: 1=1

4. Add this 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+2*x+1=(x+1)2

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