Submitted by devansh shringi

Algebra Level 4

A cubic polynomial

f(x)=8x33x23x1 f(x) = 8x^3-3x^2-3x-1

has one real root of the form a3+b3+1c \frac{ \sqrt[3]{a} + \sqrt[3]{b} + 1} { c} , where a,b,ca, b, c are positive integers. Find a+b+c a + b + c .

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