Find the Perfect Square Trinomial x^2+14x

Problem

x2+14*x

Solution

1. Identify the coefficient of the linear term x which is b=14

2. Divide the coefficient b by 2 to find the value needed for the binomial square: 14/2=7

3. Square this result to find the constant term c that completes the square: 7=49

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

5. Factor the resulting trinomial into the form (x+b/2)2

Final Answer

x2+14*x+49=(x+7)2

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