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

1 Answer
Wayne
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)#

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