SOLUTION: determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. then write and factor the trinomial. x^2-4x

Algebra ->  Equations -> SOLUTION: determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. then write and factor the trinomial. x^2-4x      Log On


   



Question 147761: determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. then write and factor the trinomial.
x^2-4x

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Take half of the x-coefficient -4 to get -2. Now square -2 to get 4. So you need to add 4 to x%5E2-4x to get x%5E2-4x%2B4. Now the expression x%5E2-4x%2B4 is a perfect square trinomial which factors to %28x-2%29%5E2