Find the Perfect Square Trinomial 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 get b/2=(−8)/2=−4

3. Square this result to find the constant term needed to complete the square: (−4)2=16

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

Final Answer

x2−8*x+16=(x−4)2

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