Which expression represents 12x³-6x²+2x : 2x in simplest form?

x^2 (12 x - 5)

Step-by-step explanation:

Simplify the following:

12 x^3 + (2 x x) / 2 - 6 x^2

(2 x x) / 2 = 2/2*x x = x x:

12 x^3 + x x - 6 x^2

x x = x^2:

12 x^3 + x^2 - 6 x^2

x^2 - 6 x^2 = - 5 x^2:

12 x^3 + - 5 x^2

Factor x^2 out of 12 x^3 - 5 x^2:

Answer: x^2 (12 x - 5)