Function/Curve that goes through certain points?

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SUMMARY

The discussion centers on creating a mathematical function that smoothly intersects the y=0 axis at specified x-coordinates. The user proposes a polynomial function defined as f(x)=(x-(-10))(x-(-2))(x-(5)), which effectively crosses the x-axis at x=-10, x=-2, and x=5. This method is based on the principles of polynomial interpolation, specifically utilizing the Lagrange polynomial approach for constructing such functions. The solution is straightforward and can be expanded to include additional points as needed.

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Kepler_
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Is there a simple way to make a function go through a set of points?

Something similar to what I'm looking for is this; a function that creates a smooth curve crossing y=0 at a list of x-coordinates

This will cross y=0 at x=-10, x=-2, and x=5
f(x)=(x-(-10))(x-(-2))(x-(5))

This is simple and infinitely expandable. Thanks!
 
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