What is the remainder when open paren x cubed plus 1 close paren is divided by open paren x squared minus x plus 1 close paren ?

Factor the dividend using the sum-of-cubes identity: x³ + 1 = (x + 1)(x² − x + 1). Since the divisor x² − x + 1 is a factor of the dividend, the division has no remainder. The correct choice is 0.

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