A math problem of divisional olympiad,2008
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ataher.sams
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The GCD and LCM of 2 polynomials are (x-2) and (x^3+6x^2-x-30) respectively . If 1 of the polynomials is (x^2+x-6) , then find the other polynominal.
Ataher Sams
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nafistiham
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Re: A math problem of divisional olympiad,2008
clue: got to follow the principle that
\[X\cdot Y=\left ( X,Y \right )\cdot \left [ X,Y \right ]\]
here,$\left ( X,Y \right )=$GCD of $X,Y$ and $\left [ X,Y \right ]=$LCM of $X,Y$
i don't think the problem needs anything else.
\[X\cdot Y=\left ( X,Y \right )\cdot \left [ X,Y \right ]\]
here,$\left ( X,Y \right )=$GCD of $X,Y$ and $\left [ X,Y \right ]=$LCM of $X,Y$
i don't think the problem needs anything else.
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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ataher.sams
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Re: A math problem of divisional olympiad,2008
I know that... But the maltiple get too big...
Ataher Sams
Re: A math problem of divisional olympiad,2008
Ataher...
Try factoring the 2 given large polynomials. Remember that GCD is also a factor of LCM.
So you can always use the vanishing method.
If you are confused about the solution, it is.
Try factoring the 2 given large polynomials. Remember that GCD is also a factor of LCM.
So you can always use the vanishing method.
If you are confused about the solution, it is
Last edited by Labib on Sun Dec 04, 2011 10:57 pm, edited 1 time in total.
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nafistiham
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Re: A math problem of divisional olympiad,2008
vaia, probably the solution will be
because,
Last edited by nafistiham on Sun Dec 04, 2011 11:07 pm, edited 1 time in total.
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
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Re: A math problem of divisional olympiad,2008
Oh, I missed that $(x-2)$. I edited my one... But now you've got a mistake... :p
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
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ataher.sams
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Re: A math problem of divisional olympiad,2008
PLease show me the process of finding factor of (x^3+6x^2-x-30) ....
Ataher Sams
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nafistiham
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Re: A math problem of divisional olympiad,2008
divide the plynomial by $(x-2)$.and, we did it using function.you will get it in $IX-X$ math book.labib wrote
Remember that GCD is also a factor of LCM.
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.