Proof Sorter - Curve Fitter

Age 16 to 18
Challenge Level

Use this proof sorter to construct a proof that it is impossible to find a cubic equation which passes through $(0,0)$ and has turning points at $(1,2)$ and $(2,1)$. This particular type of proof is called a proof by contradiction.

See Curve Fitter for the problem that this proof sorter relates to.