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Since $ x + y + z = 1 $, this simplifies to
Question: Let $ f(x) $ be a cubic polynomial such that $ f(1) = 3 $, $ f(2) = 7 $, $ f(3) = 13 $, and $ f(4) = 21 $. Find $ f(0) $.
We subtract consecutive equations to eliminate $ d $:

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