Question

When x³ +x² + x + 1 is divided by x + 2, the remainder is ______.

Options

• 4

• −4

• 5

• −5

Answer 1

When x³ +x² + x + 1 is divided by x + 2, the remainder is −5.

Explanation:

Let f(x) = x³ +x² + x + 1

Let x + 2 = 0

x = −2

f(−2) = (−2)³ + (−2)² + (−2) + 1

= −8 + 4 − 2 + 1

= −5