Find the Perfect Square Trinomial x^2+4x

Problem

x2+4*x

Solution

1. Identify the coefficient of the linear term, which is the number in front of x In this expression, the coefficient is 4

2. Divide this coefficient by 2

4/2=2

3. Square the result obtained in the previous step to find the constant term needed to complete the square.

2=4

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

x2+4*x+4

5. Factor the resulting trinomial into the square of a binomial.

(x+2)2

Final Answer

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

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