Find the Perfect Square Trinomial x^2-16x

Problem

x2−16*x

Solution

1. Identify the coefficient of the linear term x which is b=−16

2. Divide the coefficient b by 2 to find the value needed for the square: (−16)/2=−8

3. Square this result to find the constant term required to complete the square: (−8)2=64

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

Final Answer

x2−16*x+64=(x−8)2

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