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Math Help - Factoring #2

  1. #1
    Junior Member Freaky-Person's Avatar
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    Unhappy Factoring #2

    Okay. I need to learn the steps to factor the following. As in the proof itself.

    -> ax^3 + bx^2 + cx + d = 0


    I don't CARE if you don't solve the actual equation, just tell me some methods I could use to factor it!!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Freaky-Person View Post
    Okay. I need to learn the steps to factor the following. As in the proof itself.

    -> ax^3 + bx^2 + cx + d = 0


    I don't CARE if you don't solve the actual equation, just tell me some methods I could use to factor it!!
    As I said in the other thread, you can use the rational root theorem to
    identify potential rational roots which would correspond to factors with
    rational nubers in them. This is not guaranteed to work because
    there is no guarantee that a general cubic has any rational roots.

    RonL
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  3. #3
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Freaky-Person View Post
    Okay. I need to learn the steps to factor the following. As in the proof itself.

    -> ax^3 + bx^2 + cx + d = 0


    I don't CARE if you don't solve the actual equation, just tell me some methods I could use to factor it!!
    If you really want the ugly way, here's the Cardano method. (As well as some others. Cardano's method is the most basic and the one I'm sure you will want to use if you want to use it.) I warn you: it is not pretty!

    -Dan
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