Question

PLEASE HELP I've been struggling on this one :(

Answer 1

Answer: The answer is (x+2)(x-4)(x-4)
Or as a short form you can write it as $(x+2) (x-4)^{2}$

Step-by-step explanation:

Answer is very lengthy but I am 100% sure that's the correct answer

Answer 2

Answer:

(x³ - 6x² + 32) = (x - 4)²(x + 2)

Step-by-step explanation:

(x³ - 6x² + 32)/(x - 4) =

           x² - 2x - 8

          ----------------------------------

x - 4    |  x³ - 6x² + 0x + 32

             x³ - 4x²

            ----------

                  -2x² + 0x

                  -2x² + 8x

                 ----------------

                            -8x + 32

                            -8x + 32

                           -------------

                                       0

(x³ - 6x² + 32) = (x - 4)(x² - 2x - 8) = (x - 4)(x - 4)(x + 2) =

= (x - 4)²(x + 2)