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Math Help - Define the Intersection points of polynomials

  1. #1
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    greece
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    Define the Intersection points of polynomials

    I am facing the following problem.
    Let’s consider 2 points that are not known (x0,y0) and (x1,y1)
    I know that from these 2 unknown points (x0,y0) and (x1,y1) a number of second degree polynomials passes.
    fi(x)=ai2x2+ai1x+ai0
    For each of these polynomials I know
    one point (xki,yki) of the polynomial and its leading coefficient i.e. ai2 which is different for each polynomial.
    Is it possible to find the intersection points (i.e. the 2 unknown points) of the aforementioned polynomials?
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  2. #2
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    Re: Define the Intersection points of polynomials

    In fact what you want to know is a bit confusing. please elaborate a bit and show the effort you have made so far.
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  3. #3
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    Re: Define the Intersection points of polynomials

    Okay, I ll try to elaborate.

    I want to define the intersection points of polynomials of degree 2.

    In specific I know that a number of polynomials lets say 4 quadratics intersect at 2 points.

    The intersection points are not known.

    From each of the 4 quadratics I know their leading coefficient and a point. (The known point is different than the intersection point.)

    Can I define their intersection points or not?
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  4. #4
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    Re: Define the Intersection points of polynomials

    Any suggestions ideas?
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