Given :2x^2-5x+3 , this quadratic equation can be factored, if I can find two numbers which multiply together to equal 6 and add together to equal -5. I can, and they are -3 and -2. So now I will use them to expand the original expression. 2x^2 -5x+3 2x^2-2x -3x+3
Notice that I have rewritten the term -5x as the sum of -2x + (-3x). Now I will do some simple factoring:
2x(x-1) -3(x-1). Notice that (x-1) is a common term, so I can factor it and get the solution.