# Thread: Define the Intersection points of polynomials

1. ## 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?

2. ## 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.

3. ## 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?

4. ## Re: Define the Intersection points of polynomials

Any suggestions ideas?