# Complex

**Algebra**Level 4

If \( \sqrt{i + 1} \) is a root of the polynomial with integer coefficients of the lowest degree, find the sum of the cubes of the roots of this polynomial.

\[\] **Clarification**: \(i=\sqrt{-1}\).

If \( \sqrt{i + 1} \) is a root of the polynomial with integer coefficients of the lowest degree, find the sum of the cubes of the roots of this polynomial.

\[\] **Clarification**: \(i=\sqrt{-1}\).

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