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# What is the remainder when (x^{3} + 1) is divided by (x^{2 }- x + 1)?

**Solution:**

x^{3} + 1/x^{2} - x + 1 can be simplified by polynomial division.

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence.

Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too.

Therefore, the remainder is zero.

## What is the remainder when (x^{3} + 1) is divided by (x^{2 }- x + 1)?

**Summary: **

The remainder when (x^{3} + 1) is divided by (x^{2} - x + 1) is zero.

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