Submitted by devansh shringi

Algebra Level 4

A cubic polynomial

\[ f(x) = 8x^3-3x^2-3x-1\]

has one real root of the form \( \frac{ \sqrt[3]{a} + \sqrt[3]{b} + 1} { c} \), where \(a, b, c\) are positive integers. Find \( a + b + c \).

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