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

C

Explanation:

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