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)`

Explanation:

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

Answer 2

(x³ - 6x² + 32) = (x - 4)²(x + 2)

Explanation:

(x³ - 6x² + 32)/(x - 4) =

x² - 2x - 8

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x - 4 | x³ - 6x² + 0x + 32

x³ - 4x²

----------

-2x² + 0x

-2x² + 8x

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

-8x + 32

-8x + 32

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0

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

= (x - 4)²(x + 2)