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Math Help - Factorization

  1. #1
    Member kjchauhan's Avatar
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    Factorization

    Please help me, How to factorise this polynomial...

    D^5-13D^3+26D^2+82D+104=0

    Thanks in advance...
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  2. #2
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    Find the positive and negative factors of 104.

    Then substitute each of these into the polynomial.

    If any of them (call it a) gives you 0 after simplifying the left hand side, then (x - a) is a factor.

    After you've done that, long divide, follow the same process.
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  3. #3
    Member kjchauhan's Avatar
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    Quote Originally Posted by Prove It View Post
    Find the positive and negative factors of 104.

    Then substitute each of these into the polynomial.

    If any of them (call it a) gives you 0 after simplifying the left hand side, then (x - a) is a factor.

    After you've done that, long divide, follow the same process.
    I found a factor D+4, but I can not find the facors of other factor D^4-4D^3+3D^2+14D+26.
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  4. #4
    Super Member Bacterius's Avatar
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    Hint : plot your polynomial and have a look at it. Then you should understand why you can't find other factors
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  5. #5
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    You've found the only real root of f(x)=0.
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