Question

Which of the following is the correct factorization of the polynomial below?
x^3 + 12x² + 36x
A. x(x+6)(x-6)
B. (x2 + 6x-3)(x-6)
C. x(x+6)2
D. (x2 + 6x-3)(x-12)

Answer 1

Answer:

C

Step-by-step explanation:

${x}^{3} + 12 {x}^{2} + 36x \\ = x( {x}^{2} + 12x + 36) \\ = x( {x + 6)}^{2}$