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Math Help - Factor Theorem and Remainder Theorem

  1. #1
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    Factor Theorem and Remainder Theorem

    Can anyone explain these to me ? I'm clueless as to how to do these.


    Factor Theorem

    Use the Factor Theorem to show that x - c is a factor of P(x) for the given value(s) of c.

    P(x) - x^3 - 3x^2 + 3x - 1, c = 1


    Also i'm having problems with a type of question that I also don't know where to start.

    Find a polynomial of the specified degree that has the given zeros.

    Degree 3; Zeros -1 , 1, 3


    HELP!!!
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  2. #2
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    Krizalid's Avatar
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    Quote Originally Posted by JonathanEyoon View Post
    Use the Factor Theorem to show that x - c is a factor of P(x) for the given value(s) of c.

    P(x) - x^3 - 3x^2 + 3x - 1, c = 1

    Find a polynomial of the specified degree that has the given zeros.

    Degree 3; Zeros -1 , 1, 3
    x-1 will be a factor of P(x) if P(1)=0, i.e. P(1)=1^3-3(1)^2+3(1)-1=0

    _____

    Given the zeros, you can set (x+1)(x-1)(x-3)=0, now expand.
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  3. #3
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    Quote Originally Posted by Krizalid View Post
    x-1 will be a factor of P(x) if P(1)=0, i.e. P(1)=1^3-3(1)^2+3(1)-1=0

    _____

    Given the zeros, you can set (x+1)(x-1)(x-3)=0, now expand.




    Ohhhhhhhhh ok.... so what does the factor theorem and remainder theorem mean?
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