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Math Help - FActor 2x^2+2x-3

  1. #1
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    FActor 2x^2+2x-3

    WHen I factor should I take out a GCF of 2x???


    NVM i think it is alread simplified????
    Last edited by tiffieblah; June 2nd 2009 at 05:29 PM.
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  2. #2
    Super Member Deadstar's Avatar
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    Well it doesn't factor in the integers but it does in the reals.
    If you take out 2x as a factor you get 2x(x+1)-3

    If you set 2x^2 + 2x - 3 = 0 and use \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} then you get factors in the real => \bigg{(}x - \bigg{(}\frac{1}{2} - \sqrt{\frac{7}{4}}\bigg{)}\bigg{)}\bigg{(}x - \bigg{(}\frac{1}{2} + \sqrt{\frac{7}{4}}\bigg{)}\bigg{)}.

    Or alternatively you can notice that x^2 + 2x - 3 factorizes as (x+3)(x-1) so you can factorize 2x^2 + 2x - 3 as (x+3)(x-1) + x^2
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