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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 $f$?

 Aug 31, 2024
 #1
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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

 Aug 31, 2024

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