Find the Perfect Square Trinomial x^2-2x

Problem

x2−2*x

Solution

1. Identify the coefficient of the linear term, which is the value b in the expression x2+b*x Here, b=−2

2. Calculate half of the linear coefficient: b/2=(−2)/2=−1

3. Square this value to find the constant term needed to complete the square: (−1)2=1

4. Add the constant to the original 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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