If x + 1/x = 1, then the value of x12 + x9 + x6 + x3 + 1 is:

Answer: Option A

$$x+\frac{1}{x}=1$$
x² + 1 - x = 0
(x + 1)(x² + 1² - x) = 0
x³ + 1 = 0
x³ = -1
⇒ x¹² + x⁹ + x⁶ + x³ + 1
= 1 - 1 + 1 - 1 + 1
= 1