Factor the equation 12x4 - 27x3 6x2

Hello,

This is not an equation but an expression.

We must see the sign "=" in a equation!

Netherless,

12x^4-27x^3+6x²=3x² (4x²-9x+2) = 3x² (4x²-8x-x+2)

=3x² (4x (x-2) - 1 (x-2))

=3x² (x-2) (4x-1)

Assuming that that is a plus between 12x^3 and 6x^2

factor each

12x^4=2*2*3*x*x*x*x

27x^3=3*3*3*x*x*x

6x^2=2*3*x*x

GCF=3*x*x=3x^2

undistribute

(3x^2) (4x^2-9x+2)

factor 4x^2-9x+2

trial and error

(4x-1) (x-2)

(3x^2) (4x-1) (x-2)