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Math Help - Factoring

  1. #1
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    Factoring

    Find the solution y=x^2-4x+3 and y=x-1 so I have
    If I want to factor the expression x^2-5x+4

    I can find the roots (x-1)(x-4) I was shown another but I cannot remember correctly how to do it because it doesnt work but it should

    if you put the factors in a square and take out common terms (numbers and signs, I believe that can only take out neg if both have it) I need a neg 1 and 4 outside to get the

    x 4
    x x^2 -4x
    1 -1x 4

    Any help where I am going wrong will be greatly appricated Thanks
    Last edited by IDontunderstand; November 19th 2008 at 06:47 PM.
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  2. #2
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    Quote Originally Posted by IDontunderstand View Post
    Find the solution y=x^2-4x+3 and y=x-1 so I have
    If I want to factor the expression x^2-5x+4

    I can find the roots (x-1)(x-4) I was shown another but I cannot remember correctly how to do it because it doesnt work but it should

    if you put the factors in a square and take out common terms (numbers and signs, I believe that can only take out neg if both have it) I need a neg 1 and 4 outside to get the

    x 4
    x x^2 -4x
    1 -1x 4

    Any help where I am going wrong will be greatly appricated Thanks
    =x^2-5x+4

    =x^2-4x-x+4

    =x(x-4)-1(x-4)

    =(x-4)(x-1)

    did you get it now???
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  3. #3
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    Joined
    Sep 2008
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    120
    no,I can factor it using the reverse foil method I learned a way that we are able to find the roots which is what you did I think, The other way that I have learned


    Draw a square and divide that into 4 sections

    put a x^2 in the top left

    put c in the bottom right (4)

    Multiply A and C together, Find the factors of those numbers that add or subtract to b, put those in the 2 remaining boxes with signs, (-1 and -4) andd to
    -5 put x's next to numbers w/ factors

    Now take out the common factor with sign in each row and column,

    I believe to take out a neg it has to be in each box in the row/column

    I dont have a neg in each so I cant take that out so I cannot get the correct roots.
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