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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 $f$?

 Jun 17, 2024
 #1
avatar+129733 
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This is  impossible...a cubic polynomial has - at most - three real roots.....this polynomial has four.....at a minimum, it must be a quartic

 

 

cool cool cool

 Jun 17, 2024

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