+227 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 $f$?
+35 tip: if you want to actually make your LaTeX show, don't put dollar signs around it, there's a specific tool for it
let the cubic be ax^3 + bx^2 + cx + d, where a, b, c, and d are the coefficients
f(1) = 0 gives a + b + c + d = 0
so the sum of the coefficients is 0
please tell me if there are any errors
