What is the equation satisfying the parameterized equation $(t,t^2,t^3)$ where $t$ is a real constant?
2026-03-25 12:29:31.1774441771
What is the polynomial satisfying $(t,t^2,t^3)$
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How about something as simple as:
$$(y-x^2)^2 + (z-x^3)^2 = 0$$
This sort of sum of squares is just a trick, a way to combine two equations into one, and it only works when $x,y,z$ are confined to the real numbers - if you wanted complex numbers, you'd have to stick with the combination of two equations.