Use complex zeros to factor f

Question

f(x)=x^(4)+122x^(2)+121

complex zeros: i,-i,11i,-11i

Answer 1

x⁴ + 122x² + 121 = 0

(x² + 121)(x² + 1) = 0

x² = -121 or x² = -1

x = ±√(-121) or ±√(-1) = ±√121 i or ± i = ±11i or ± i