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Math Help - Pre-Calculus Expressing function

  1. #1
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    Wink Pre-Calculus Expressing function

    Hey, I am having trouble understanding how to figure this problem out. Any help is appreciated.

    Express the function in the form f(x) = (x - k) q(x) + r(x) for the given value of k. Use a graphing utility to demonstrate that f(x) = r(x)
    Function: f(x) = 15x^4 + 10x^3 - 6x^2 + 14
    Value of k: -2/3

    Thanks in advance to anyone who answers.
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  2. #2
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    Quote Originally Posted by tsmith View Post
    Hey, I am having trouble understanding how to figure this problem out. Any help is appreciated.

    Express the function in the form f(x) = (x - k) q(x) + r(x) for the given value of k. Use a graphing utility to demonstrate that f(x) = r(x).

    Check this equation.

    Function: f(x) = 15x^4 + 10x^3 - 6x^2 + 14
    Value of k: -2/3

    Thanks in advance to anyone who answers.
    use synthetic division ...

    Code:
    -2/3]..15.....10....-6......0.....14
    .............-10.....0......4....-8/3
    ---------------------------------------
     ......15.....0.....-6......4....34/3
    \left(x + \frac{2}{3}\right)(15x^3 - 6x + 4) + \frac{34}{3x+2}
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  3. #3
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    Thank you

    Thanks for the help. I understand it now.
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