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Math Help - Polynomial Division Hand-Holding Needed!

  1. #1
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    Polynomial Division Hand-Holding Needed!

    Hi all, I have the following Polynomial Division question and not sure if I'm heading in the right direction with it. Its getting more complicated than my lessons have shown but here goes

     3x^3- 5x^2 +10x +4 / 3x+1

    So I've divided the highest power of 3x^3 by 3x and got x^2 which I've put above the
    5x^2" alt="5x^2" />

    I've then multiplied the
    x^2 by 3x + 1 to get 3x^3 + x^2 and added this underneath and subtracted to give me a new remainder of -4x^2 +10x +4

    I've then taken the highest power of the remainder (
    -4x^2) and divided by highest power of the divisor (3x) which gives me \frac{4x}{3}" alt="\frac{4x}{3}" />

    I'm almost certain this is getting to complicated and thus I've gone wrong somewhere. Would someone mind letting me know if I'm on the right path please?

    Thanks
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  2. #2
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    Re: Polynomial Division Hand-Holding Needed!

    and can anyone tell me why my TEX code is messed up in places please :-)
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    Re: Polynomial Division Hand-Holding Needed!

    Quote Originally Posted by johncassell View Post
    I've then multiplied the x^2 by 3x + 1 to get 3x^3 + x^2 and added this underneath and subtracted to give me a new remainder of -4x^2 +10x +4
    This is where your mistake is, you should get -6x^2+10x+4
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  4. #4
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    Re: Polynomial Division Hand-Holding Needed!

    thank you very much. Maybe I shouldn't be doing Polynomial Division if I still haven't grasped that -5 - 1 = -6 :-)

    Thanks again!
    John
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    Re: Polynomial Division Hand-Holding Needed!

    Quote Originally Posted by johncassell View Post
    and can anyone tell me why my TEX code is messed up in places please :-)
    You appear to have a number of errors in your color statements. Take this as an example: [/COLOR][COLOR=#333333][TEX]3x^3 + x^2[/TEX] [/COLOR][COLOR=#333333] .

    -Dan
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  6. #6
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    Re: Polynomial Division Hand-Holding Needed!

    This is a simple division.It takes practice with several examples.Quotient is
    x^2-2x+4
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