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Math Help - Factoring polynomial by grouping

  1. #1
    Senior Member vaironxxrd's Avatar
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    Factoring polynomial by grouping

    Hello guys vaironxxrd here again I just want to check my answer for factoring these polynomials.

    4X\sqrt{2} -3X-10 - Given trinomial

    Result = (X-2) + (4x +5)

    In my previous steps after I got the binomials I was told that they could be factored out, is this true can someone show me how?


    Also I will soon have my geometry test , what do you guys recommend me for remembering the formulas I will not be given, like midpoint and distance formula.

    Thanks in advance.
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Quote Originally Posted by vaironxxrd View Post
    Hello guys vaironxxrd here again I just want to check my answer for factoring these polynomials.

    4X\sqrt{2} -3X-10 - Given trinomial

    Result = (X-2) + (4x +5)

    In my previous steps after I got the binomials I was told that they could be factored out, is this true can someone show me how?


    Also I will soon have my geometry test , what do you guys recommend me for remembering the formulas I will not be given, like midpoint and distance formula.

    Thanks in advance.

    \sqrt{2} is  \sqrt{2} , Not X^2


    You probably meant to write: 4x^2-3x-10


    And the above is not equals to RESULT!

    4x^2-3x-10=4x^2-8x+5x-10=4x(x-2)+5(x-2)=(x-2)(4x+5)
    Last edited by Also sprach Zarathustra; June 10th 2011 at 01:58 PM.
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  3. #3
    Super Member Quacky's Avatar
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    Quote Originally Posted by vaironxxrd View Post
    Hello guys vaironxxrd here again I just want to check my answer for factoring these polynomials.

    4X\sqrt{2} -3X-10 - Given trinomial

    Result = (X-2) + (4x +5)

    In my previous steps after I got the binomials I was told that they could be factored out, is this true can someone show me how?


    Also I will soon have my geometry test , what do you guys recommend me for remembering the formulas I will not be given, like midpoint and distance formula.

    Thanks in advance.
    When factoring, there is no '+' between factors - factoring is a process by which you split a polynomial into its factors - you are multiplying them, not adding!
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  4. #4
    Senior Member vaironxxrd's Avatar
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    Quote Originally Posted by Also sprach Zarathustra View Post
    \sqrt{2} is  \sqrt{2} , Not X^2


    You probably meant to write: 4x^2-3x-10


    And the above is not equals to RESULT!

    4x^2-3x-10=4x^2-8x+5x-10=4x(x-2)+5(x-2)=(x-2)(4x+5)
    yes I did, wait so I was still right? but I just din't write the whole process's?

    Quote Originally Posted by Quacky View Post
    When factoring, there is no '+' between factors - factoring is a process by which you split a polynomial into its factors - you are multiplying them, not adding!
    Sorry for that, Thanks for letting me know.
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