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Math Help - Factoring a polynomial?

  1. #1
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    Factoring a polynomial?

    Explain how to factor  x^9 - x^6 -x^3 + 1 ? Thanks for the help!
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  2. #2
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    Re: Factoring a polynomial?

    You could work with y^3-y^2-y+1 and notice that when y=-1 the expression is zero so that y+1 is a factor.
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  3. #3
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    Re: Factoring a polynomial?

    Think of it as (x^9 - x^6) - (x^3 - 1)

    Which is equal to x^6 (x^3 - 1) - (x^3 - 1) = (x^3 - 1)(x^6 - 1).

    That can be factored a lot more but I'll leave that to you.
    Thanks from a tutor
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  4. #4
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    Re: Factoring a polynomial?

    You could also use the rational root theorem, although that would take a while.
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  5. #5
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    Re: Factoring a polynomial?

    Quote Originally Posted by Mrdavid445 View Post
    You could also use the rational root theorem, although that would take a while.
    Yeah, it definitely would. I'd just factor it like I showed (or use a tutor's alternative solution, even though it's less intuitive).
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