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Math Help - Long Division of Functions to find Factors

  1. #1
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    Long Division of Functions to find Factors

    I'm taking an online course and this weeks lesson is long division of functions. The text has no explanation on how to do it, so any help would be appreciated.

    For the function

    f(x) = x^4 – 3x^3 + x^2 + 3x + 702

    use long division to determine whether x+6 is a factor of f(x)

    I have no idea where to start... thanks!
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  2. #2
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    Quote Originally Posted by amandagarcia0709 View Post
    I'm taking an online course and this weeks lesson is long division of functions. The text has no explanation on how to do it, so any help would be appreciated.

    For the function

    f(x) = x^4 – 3x^3 + x^2 + 3x + 702

    use long division to determine whether x+6 is a factor of f(x)

    I have no idea where to start... thanks!
    do the long division ...

    Code:
    .......x^3 - 9x^2 + 55x - 327 
    -----------------------------------
    x+6 | x^4 - 3x^3 + x^2 + 3x + 702
    ......x^4 + 6x^3
    -----------------------------------
    ...........-9x^3 + x^2 + 3x + 702
    ...........-9x^3 - 54x^2 
    -----------------------------------
    ..................55x^2 + 3x + 702
    ..................55x^2 + 330x
    ------------------------------------
    .........................-327x + 702
    .........................-327x - 1962
    ---------------------------------------
    .................................2664
    since you get a remainder, (x+6) is not a factor.


    btw, here is a much easier method ...

    if f(-6) = 0 , then (x+6) is a factor
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  3. #3
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    Actually, I don't understand how to do the long divison...can you explain that?

    Sorry for the confusion...
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  4. #4
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    Quote Originally Posted by amandagarcia0709 View Post
    Actually, I don't understand how to do the long divison...can you explain that?

    Sorry for the confusion...
    go to the link ...

    Polynomial Long Division
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