Find the Perfect Square Trinomial x^2+9x

Problem

x2+9*x

Solution

1. Identify the coefficient of the linear term x which is b=9

2. Divide the coefficient b by 2 to get 9/2

3. Square the result of the division to find the constant term needed to complete the square: (9/2)2=81/4

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

5. Factor the resulting trinomial into the square of a binomial: (x+9/2)2

Final Answer

x2+9*x+81/4=(x+9/2)2

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