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Math Help - Synthetic Division Calculator

  1. #1
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    Synthetic Division Calculator

    I recently put together a calculator to perform synthetic division for a polynomial of maximum degree of 6 or less divided by (x - c) where c is a constant that the user enters.

    Located on the algebra page, and searchable by synthetic, division, quotient, polynomial, this calculator will show you each step in the synthetic division process. It provides the quotient answer including a remainder amount if applicable. I've done some moderate testing of this program. Please let me know if anybody wants enhancements, or sees corrections that can be made. Calculator instructions are located inside the link at the top of the page.

    For the math work section, I wanted to follow how they do it on Wikipedia here ---> Ruffini's rule - Wikipedia, the free encyclopedia

    The calculator is located here, enjoy:
    Synthetic Division
    Last edited by mathceleb; April 30th 2008 at 08:13 PM.
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  2. #2
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    Enhancement update. This calculator has been written in a new language to better line up columns and rows as well as color code entries for each step in the synthetic division process to better help you follow along.

    A few other design items were added. The search engine keywords are the same as well as the link to the program.

    I've received no feedback on expanding the polynomial entries past a degree of 6, so I'll keep it that way unless I hear otherwise.

    As always, let me know if you want enhancements or see any errors.
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  3. #3
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    Hi, I love your synthetic calculator. It's freaking amazing...however I think this is a mistake although I know I'm not a genius at math...

    Synthetic Division

    and you come to the part where -3 is supposed to be added to -1 and to me that seems like it would be -4 but your calculator solves it as -1. Therefore throwing the rest of the equation off.

    Please let me know if I'm just a moron...or is that not correct?
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  4. #4
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    Quote Originally Posted by lucieloo View Post
    Hi, I love your synthetic calculator. It's freaking amazing...however I think this is a mistake although I know I'm not a genius at math...

    Synthetic Division

    and you come to the part where -3 is supposed to be added to -1 and to me that seems like it would be -4 but your calculator solves it as -1. Therefore throwing the rest of the equation off.

    Please let me know if I'm just a moron...or is that not correct?
    No, you are correct. First off, thank you for the kind words. It's thanks to you that the site becomes more useful.

    Here is what happened, and I've fixed it for future users. It looks like you had a - 3 and I was only removing space to the left and the right of the numbers from what you entered.

    So now, I've fixed the code to remove blank space between the negative sign and numbers, so - 7 becomes -7. If you don't see the change, refresh your browser. I tested the fix and it worked.

    Thanks again, this will help other users in the future if they use the site.

    Please let me know if I can help with anything else.
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  5. #5
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    Talking Thanks!

    Hey thanks for this calculator. Taking it in step by step helped me to understand what I was doing wrong. I couldn't figure out what to do with the answer I had gotten but now I know what the numbers are for now! Thanks again In the answer though where 3x+18+111/(x+6) shouldn't the sign in x+6 switch to a negative? here's the origional equation / (3x^2-10x)/(x-6)
    Last edited by beetlegossip; January 29th 2009 at 05:03 AM. Reason: perhaps an error
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  6. #6
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    Quote Originally Posted by beetlegossip View Post
    Hey thanks for this calculator. Taking it in step by step helped me to understand what I was doing wrong. I couldn't figure out what to do with the answer I had gotten but now I know what the numbers are for now! Thanks again In the answer though where 3x+18+111/(x+6) shouldn't the sign in x+6 switch to a negative? here's the origional equation / (3x^2-10x)/(x-6)
    Yes, I saw that for some remainders and have fixed it. Good catch! I've made the change and saved it.
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  7. #7
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    One more update for the answer portion. I've placed the remainder in a fraction format if a remainder exists as well as offer a small paragraph explanation as to how we take our results line and form our quotient equation.
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  8. #8
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    It's a very cool program , and has helped a bunch; however, it appears you currently don't have support for fractional divisors.

    ex.

    X+2/3

    As well, if using a decimal it freaks out.

    ex. .666666666666666666666666666666666

    It did fine till it attempted to subtract .66666666666666666666 from 1
    and than it gave me 1 as an answer, which is clearly wrong.
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  9. #9
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    Quote Originally Posted by LuckyMark81 View Post
    It's a very cool program , and has helped a bunch; however, it appears you currently don't have support for fractional divisors.

    ex.

    X+2/3

    As well, if using a decimal it freaks out.

    ex. .666666666666666666666666666666666

    It did fine till it attempted to subtract .66666666666666666666 from 1
    and than it gave me 1 as an answer, which is clearly wrong.
    I've added this feature to handle fractional roots. You were the first person every to ask for this. Good idea!

    I've also added a link back to our fraction lesson for any addition/multiplication step that involves a fractional root or interim math step.

    The only thing we may need in the future is a GCF reduction if any of our steps are not fully reduced. Let me know what you think.
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  10. #10
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    cool
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  11. #11
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    Hello Mathceleb,

    I must say that this is commendable. However, is there currently no functionality for solving using trinomial divisors, or have I had just an oversight?

    Thanks,
    Clef
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  12. #12
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    Yes, because a trinomial divisor is polynomial long division. Have you seen this calculator?

    http://www.mathhelpforum.com/math-he.../algmaster.php
    Last edited by mathceleb; August 8th 2010 at 12:41 AM.
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  13. #13
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    The thread seems to not exist. Also, if I am not mistaken, it can be done through Synthetic division, not the usual long method.
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  14. #14
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    I corrected the thread URL.

    Let me know if you have questions.
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