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-   -   Algebra 1 stuff (https://www.askmehelpdesk.com/showthread.php?t=69413)

  • Mar 6, 2007, 02:48 PM
    michelleday
    algebra 1 stuff
    my friend asked me to answer this question
    but I don't know how to do it... can you help?

    I need to factor 4x² - 4x + 1
  • Mar 6, 2007, 02:51 PM
    Curlyben
    Please refer to THIS ANNOUNCEMENT
  • Mar 6, 2007, 04:42 PM
    gsbstyle
    Certainly. It is (2x-1)(2x-1). If you multiply these two expressions together to check your math, the answer is 4x² - 4x + 1
  • Mar 6, 2007, 05:45 PM
    cool_dude
    Quote:

    Originally Posted by gsbstyle
    Certainly. It is (2x-1)(2x-1). If you multiply these two expressions together to check your math, the answer is 4x² - 4x + 1


    Don't just give out the answer when curlyben posts to read the rules! If your already going to give out the answer than at least explain how you got it.
  • Mar 6, 2007, 06:01 PM
    michelleday
    Its not a homework question...
    So he is allowed to just give me the
    Answer..
  • Mar 6, 2007, 06:22 PM
    cool_dude
    Quote:

    Originally Posted by michelleday
    its not a homework question....
    so he is allowed to just give me the
    answer..

    Even if its not a homework question he still should have at least explained how he did it. Plus "Not a homework question" hahaha. Let me guess your finding factors for fun right. Or you need to use them to figure out how much fence you will need lol.
  • Mar 6, 2007, 06:47 PM
    galactus


    What two numbers when multiplied equal 4 and when added equal -4.

    -2 and -2. (-2)(-2)=4 and -2+(-2)=-4



    Group:



    Common factors:



    Factor:

  • Mar 6, 2007, 07:05 PM
    cool_dude
    another way would be

    4x^2 - 4x + 1

    what 2 numbers multiply to 4 and add to -4?
    -2 x -2 = 4 and -2 + -2 = -4

    now we do a/f1 and a/f2 (don't get scared I'll explain what this means)
    a is the coeficient before x^2. in this case it is 4. f1 is the first number you got from the previous step and f2 is the second number. So it will look like this

    4/-2 = 2/-1
    4/-2 = 2/-1

    now just place the number in your brackets so
    (2x-1)(2x-1)

    this reduces to
    (2x-1)^2

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