Home / Solution: Assume $ g(x) = ax^3 + bx^2 + cx + d $. Substituting the given values yields the system:

Solution: Assume $ g(x) = ax^3 + bx^2 + cx + d $. Substituting the given values yields the system:

February 22, 2026

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5Question: A climatologist models the annual carbon emissions (in gigatons) as a cubic polynomial $ g(x) $, where $ x $ represents years since 2000. Given $ g(1) = 4 $, $ g(2) = 11 $, $ g(3) = 26 $, and $ g(4) = 57 $, find $ g(x) $.
a + b + c + d = 4 \\
8a + 4b + 2c + d = 11 \\
27a + 9b + 3c + d = 26 \\