Q1 Find the real solutions of the equation by factoring x3

Q1. Find the real solutions of the equation by factoring.

x³ + 4x² + 4x + 16 = 0
   a. {-2, 2, -4}
   b. {4}
   c. {-4}
   d. {6}

x3 + 4x2 + 4x + 16 = 0

taking out x^2 as common x^2( x +4) +4(x+4) =0

(x^2 +4)(x+4) =0

x= -4 ; x^2 =-4

x = 2i , -2i

Real solution : x = -4

Option C