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Math Help - Factorising polynomial

  1. #1
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    Factorising polynomial

    I can do this for most, but this ones got me stuck!

    (2x^3)-(x^2)+(2x)-1

    I tried putting in values of x to make it = 0 but can't find one.
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by hciR View Post
    I can do this for most, but this ones got me stuck!

    (2x^3)-(x^2)+(2x)-1

    I tried putting in values of x to make it = 0 but can't find one.
    Hello hciR,

    Rearrange: 2x^3+2x-x^2-1

    Group: (2x^3+2x)-(x^2+1)

    2x(x^2+1)-(x^2+1)

    (2x-1)(x^2+1)
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  3. #3
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    Oh I see, I don't think I would ever have spotted the re-arranging bit. Thanks!
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  4. #4
    A riddle wrapped in an enigma
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    Quote Originally Posted by hciR View Post
    Oh I see, I don't think I would ever have spotted the re-arranging bit. Thanks!
    Sometimes, you just have to try a few different ways. Here, there were only a few grouping options to try. Grouping the first two terms and last two terms didn't lead anywere, so I tried the first and third terms, then the second and fourth.


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