How do you factor the trinomial 2x^2-5x+3 ?

1 Answer
Mar 19, 2016

(x-1)(2x-3)

Explanation:

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.

(x-1)(2x-3)