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

We will be using the long division method of the polynomial for finding the solution.

## Answer: The remainder is zero when (x^{3} + 1) is divided by (x^{2} – x + 1).

Let us see how we will use the long division method.

**Explanation**:

Using long division method: (x^{3 }+ 1) ÷ (x^{2 }- x + 1)