[kde-edu]: [KDE-EDU] KMathTool, Finding roots of Cubic polynomial

[Trenton Carr]

Hello all

I'm trying to implement a class that takes the (math)function of a  
hyperbola and parabola, solves them simultaneously by finding the roots of  
a cubic polynomial. This gives the intercepts between the two.

ie:	hyperbola y = k/x
	parabola  y = ax^2+bx+c

solve simultaneously:	ax^3+bx^2+cx-k

this can be solved by factorizing the cubic by factor theorem, like so,

		(x+?)(ax^2+bx+c)	where ? = Int. 	? can be found by inspection and  
algebraic long division.

Does anyone know how to do this programmagically.
I've googled myself silly and to be honest, I don't even know where to  
start asking for help with this.

I need this to calculate the intecepts between a hyperbola and a parabola  
which I'm plotting for KMathTool.

Any help from you TechnoMages would be appreciated.

Kind Regards

Trenton


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