Factor X⁴ + 4x³ + 4x² - 9 into a Product

Multiple Choice

Factor x⁴ + 4x³ + 4x² - 9 into a product of linear factors and quadratic factors having no real roots.

A) (x - 1) (x + 3) (x² + 2x + 3)
B) (x - 1) (x + 3) (x + 1) (x - 3)
C) (x² - 2x + 3) (x² + 2x + 3)
D) (x - 1) ² (x + 3) ²
E) (x² - x + 9) (x² + x + 1)