Is (x - 2) a factor of x³ - 4x² - 11x + 30 ?

1. yes

2. no

3. nothing can be said

4. none of the above is true

Given,

⇒ x - 2 = 0

⇒ x = 2.

Substituting x = 2 in x³ - 4x² - 11x + 30, we get :

⇒ 2³ - 4(2)² - 11(2) + 30

⇒ 8 - 4(4) - 22 + 30

⇒ 8 - 16 - 22 + 30

⇒ 38 - 38

⇒ 0.

Since, remainder = 0.

∴ x - 2 is factor of x³ - 4x² - 11x + 30.

Hence, Option 1 is the correct option.