Stuck on a VERY simple question?!

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  1. 23six's Avatar
    • New Member
    • Posts: 7
    Stuck on a VERY simple question?!
    Been bugging me for the last hour lol, I dont know if I'm missing anything out.

    Factorise: 2x² - x - 3

    After a google search I know the answer (which i wont reveal because I dont know how to spoiler) but I dont understand.

    From my knowledge you times the coefficient of x² (2) by -3 = -6
    Now find two numbers that:
    (a) multiply to make -6 and
    (b) add/subtract to make -1 (for -x ofc)

    This seems impossible to me

    Any help with steps would be appreciated!
  2. Idle's Avatar
    • Section Moderator
    • Sweet Sleep, My Dark Angel
    • Location: West Midlands
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    Re: Stuck on a VERY simple question?!
    -3 and +2?
  3. 23six's Avatar
    • New Member
    • Posts: 7
    Re: Stuck on a VERY simple question?!
    (Original post by Idle)
    -3 and +2?
    Oh yh, ****
    Last edited by Groat; 25-09-2012 at 22:30.
  4. Sophieeexxx's Avatar
    • Junior Member
    • Posts: 60
    Stuck on a VERY simple question?!
    2x^2-x-3

    (2x+3)(x-2) = 0

    X = 2 or -1.5

    I don't know if this is completely wrong but I think the first part is right, I don't know where it goes after that


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  5. Fragile_Illusions's Avatar
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    • Location: Manchester
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    Re: Stuck on a VERY simple question?!
    You need to get a proper calculator. You don't have to work this out in the exams.

    -3 * +2 = -6
    -3 + 2 = -1
  6. Sophieeexxx's Avatar
    • Junior Member
    • Posts: 60
    Stuck on a VERY simple question?!
    Ooh no wait that 2 is a one


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  7. 23six's Avatar
    • New Member
    • Posts: 7
    Re: Stuck on a VERY simple question?!
    How dyou factorise 2x^2 -3x +2x -3 then please?
  8. Sophieeexxx's Avatar
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    • Posts: 60
    Stuck on a VERY simple question?!
    And the + and - are the other way round. Gah ignore me I made a mess haha D


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  9. Sophieeexxx's Avatar
    • Junior Member
    • Posts: 60
    Stuck on a VERY simple question?!
    (Original post by 23six)
    How dyou factorise 2x^2 -3x +2x -3 then please?
    It's the same
    -3x +2x = -x


    This was posted from The Student Room's iPhone/iPad App
  10. Robbie242's Avatar
    • TSR Demigod
    • Posts: 5,234
    Re: Stuck on a VERY simple question?!
    (Original post by 23six)
    How dyou factorise 2x^2 -3x +2x -3 then please?
    2x(x+1) -3(x+1)

    (2x-3) (x+1)

    EDIT: Rearranged the twos and 3s together to get a common factor (x+1) then put the two numbers outside the brackets into a separate one alongside it.
    Last edited by Robbie242; 25-09-2012 at 21:04.
  11. mimx's Avatar
    • Exalted and Worshipped Member
    Re: Stuck on a VERY simple question?!
    (Original post by 23six)
    How dyou factorise 2x^2 -3x +2x -3 then please?
    



2x^2 -3x +2x -3 \\

=& 2x^2 +2x -3x -3 \\

=& 2x(x+1) -3 (x+1) \\

=& (2x-3)(x+1)


    Edit: Beat
  12. Robbie242's Avatar
    • TSR Demigod
    • Posts: 5,234
    Re: Stuck on a VERY simple question?!
    (Original post by mimx)
    



2x^2 -3x +2x -3 \\

=& 2x^2 +2x -3x -3 \\

=& 2x(x+1) -3 (x+1) \\

=& (2x-3)(x+1)


    Edit: Beat
    Aww only by a few seconds! ^^
  13. 23six's Avatar
    • New Member
    • Posts: 7
    Re: Stuck on a VERY simple question?!
    Thanks guys! I see where I confused myself now. Put the +2x -3x the other way around making it all weird
  14. ViceVersa's Avatar
    • Banned
    • Location: Kent
    • Posts: 7,875
    Re: Stuck on a VERY simple question?!
    X1 = 1.5 X2 = -1

    I other words: (2x-3) (x+1)

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