Question

The remainder, when x³ – x² + x – 1 is divided by x + 1, is ______.

Options

• 0

• – 4

• 2

• 4

Answer 1

The remainder, when x³ – x² + x – 1 is divided by x + 1, is – 4.

Explanation:

We know that when f(x) is divided by x – a

Then remainder = f(a)

Let f(x) = x³ – x² + x – 1

When f(x) is divided by x – (– 1)

Then remainder

= f(– 1)

= (– 1)³ – (– 1)² – 1 – 1

= – 1 – 1 – 1 – 1

= – 4