SOLUTION: Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. x^2+16x Please show me the steps to get the ans

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+16x Please show me the steps to get the ans      Log On


   

Question 442646: Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial.
x^2+16x
Please show me the steps to get the answer. Thanks
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Divide the x coefficient by 2, then square the resulting number to get 64, so that



This is because . It can be seen that given the x coefficient 2a, we divide by 2 then square it.