Factor 4x^2 - 4x + 1 >= 0

[trip20]

I need to factor 4x^2 - 4x + 1 >= 0

Using the quadradic formula I know the answer is x=1/2,

however I am required to use the method (x - ?)(x + ?)

I just can't figure it out?

 

[arthur ohlsten]

4x^2-4x+1=>0

factors of 4 1,4 2,2
factors of 1 1,1
we want a set whose sum =4 1,1 2,2 does it
[2x-1][2x-1]=>0 for the equation to =0
x=1/2
for all other values the equation is greater than 0

the equation is a parabola open up vertex at 1/2,0 axis of symetry x=1/2

Arthur