Find the remainder when (x³ – 2) is divided by (x – 1). What is the remainder? 

In the question, the dividend is (x³ – 2) and the divisor is (x-1).

Answer: When (x³ – 2) is divided by (x – 1), the remainder is -3.

Let's explore the long division of polynomials.

Explanation:

The long division of polynomial (x³ – 2) divided by (x – 1) is given by:

The remainder is -3. That means x-1 is not a factor of (x³ - 2).

Thus, when (x³ – 2) is divided by (x – 1), the remainder is -3.