Let $f$ be a cubic polynomial such that $f(0) = 0$, $f(1) = 0$, $f(2) = 0$, and $f(3)=0$. What is the sum of the coefficients of $f$?
This is impossible...a cubic polynomial has - at most - three real roots.....this polynomial has four.....at a minimum, it must be a quartic
+1459 
