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 find the value needed for the square: 8/2=4

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

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

5. Factor the resulting trinomial into the square of a binomial: (x+4)2

Final Answer

x2+8*x+16=(x+4)2

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