Answer + factor completely. 162 - 2x^2 = 6x^2 - 24x^3 + 36x =

6x^2 - 24x^3 + 36x becomes easier to factor if you notice that 6x is a factor of all 3 terms.  Factoring, we get 6x(x - 4x^2 + 6), or -6x(4x^2 - x + 6).

To factor 4x^2 - x + 6, I'd choose from one of the following approaches:  quadratic formula, factoring using synthetic division.

Quadratic formula:
        1 plus or minus sqrt( 1 - 4(4)(6) )
x =
                                8
         1 plus or minus sqrt(-95)
   =
                            8

Then the desired factors are complex:

(6) (x - [1 plus sqrt(95] ) (x - [1 minus sqrt(95) ] )

                                   8