What is the remainder when (x3 + 1) is divided by (x2 – x + 1)?

Modulo the divisor, x² − x + 1 = 0, so x² = x − 1. Multiplying by x gives x³ = x² − x = (x − 1) − x = −1. Therefore x³ + 1 has remainder 0, so the correct choice is D) 0.

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