SOLUTION: Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. x^2+8x Please show me the steps to get the answ

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. x^2+8x Please show me the steps to get the answ      Log On


   

Question 442644: Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial.
x^2+8x
Please show me the steps to get the answer. Thanks
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+8x
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a = 1, 1x^2
b = 8, 8x
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b/2a = 8/2 = 4
c = (b/2a)^2 = 16
--> x^2 + 8x + 16 = (x + 4)^2