Answer:
Step-by-step explanation:
I learned this easy way to complete the sqare in the fastest way possible
First you want to get it to x^2. So the first thing you would do is divide the entire equation by 2 to get 2(x^2 -5/2x +3/2). then you do one half of b or in this case -5/2. That would make -5/4. you would put this into the factor.
2( x -5/4 + ) ( x -5/4 - )
Then you square that number (-5/4)
That makes 25/16. you take that number and subtract the last number or the constant, c to make 1/16. now to finish it up you square root that number. the squre root of 1/16 is 1/4. then you put that into the last part of the factor.
2( x -5/4 + 1/4) ( x -5/4 - 1/4)
Then you simplify
(x-1) 2(x-3/2)
(x-1) (2x-3)
now to make sure I am correct, I will re-multiply it out
2x^2 -5x + 3
