Find the remainder when (x³ - 2) is divided by (x - 1).

The dividend here is (x³ - 2) and (x - 1) is the divisor.

Answer: The remainder when (x³ - 2) is divided by (x - 1) is -1

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 -1, that means (x - 1) is not a factor of (x³ - 2).

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