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

In the question, the dividend is (x^{3} – 2) and the divisor is (x-1).

## Answer: When (x^{3} – 2) is divided by (x – 1), the remainder is -3.

Let's explore the long division of polynomials.

**Explanation:**

The long division of polynomial (x^{3} – 2) divided by (x – 1) is given by:

The remainder is -3. That means x-1 is not a factor of (x^{3} - 2).

### Thus, when (x^{3} – 2) is divided by (x – 1), the remainder is -3.

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