Correct Answer - Option 3 : 6

**Given:**

x3 – 6x2 + 24 = 6(x – 3)

**Calculation:**

x3 – 6x2 + 24 = 6x – 18

⇒ x3 – 6x2 = – 42 + 6x

x2 + {6/(x – 6)}

⇒ {(x^{3} – 6x^{2} + 6)/(x – 6)}

⇒ (– 42 + 6x + 6)/(x – 6)

⇒ (6x – 36)/(x – 6)

⇒ 6(x – 6)/(x – 6)

⇒ 6

**∴ The value is 6**