Complete the Square x^2+12x+

Problem

$$ x^2 + 12x + \text{___} $$

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 to be squared: 12/2=6

3. Square this result to find the constant term needed to complete the square: 6=36

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

Final Answer

x2+12*x+36=(x+6)2

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