here

Thank you

I have two questions now:1- If the five points are passed by cubic, they could not be passed by quartic. remember I am talking always about the polynomial which coefficient of heighest degree is nonzero. Am I right? 2- If I give you a set of points, can you find a minimum degree of polynomial that goes through them.

But the five points could be passed by cubic and quintic but not quartic. remember I am talking always about the polynomial which coefficient of heighest degree is nonzero.

Is there any proof?

Many thanks.

uncool, f(x) = Ax^4 + Bx^3+Cx^2+Dx+E where A=0 Is it quartic or cubic? If it could be quartic, can you please ignore this concept to avoid a confusion! I understood what you said but I need more verification. If 10 points passed by 2 x^3 + x^2 + 5, these points could not be passed by polynomial of degree 4,5,6,7,8 and 9 which coefficient of highest degree is nonzero. So, there is no polynomial based on the formula (Ax^4 + Bx^3+Cx^2+Dx+E where A<>0 ) goes through these points. Correct?

I am talking about strict quartic that coefficient of x^4 is nonzero. So, not any 5 points can be passed by strict quartic.

Thanks. If 5 points are passed by cubic polynomial, then there is no quartic polynomial goes through these points. Is it right?

Yes I cant. Can you please use the points I gave you?

My solution is accurate 100% and easy. You can do it easily in Excel. Are the methods you mentioned easy? Can you give me an example how you can determine the degree? Use the points: x,y 2,0 5,24 6,60 8,210 9,336

Is there any software that can solve such this problem without determining the degree? I mean, if I give you 10 points passed by cubic polynomial but you don't know it is cubic polynomial. can you solve it by any software?

No. This if you know the degree and in this case it is not easy especially for forth degree and above. Moreover, if you have only set of points that a polynomial goes through but you don't know the degree, can you detect the degree and the formula?

It works fine in IE11,FF and chrome. I did not test it in edge. Can you please tell me what is the issue exactly. Sorry but you are wrong. Any polynomial goes through infinite points. The points in my page are only passed by polynomial of degree 3 not else. I have just added more comment in the result.

Hi, I have discovered a good solution to find a polynomial formula that goes through the specific points. Please first visit my page and give me your feedback http://wahamira.net/math/find-polynomial.htm Regards,