Respuesta :

Answer:

(x-1)(x-4)

Step-by-step explanation:

I used long division with polynomials to help me find the other factor to this problem.  Divide x cubed -5x squared -6x+8 by x+2 to get x squared -5x+4.

Hope this helps!

tramserran

Answer:  (x + 2) (x - 4) (x - 1)

Step-by-step explanation:

Use synthetic division. If the remainder (last digit) is zero, then it is a factor. The other digits represent the coefficients of the reduced polynomial.

x³ - 3x² - 6 + 8   ; x + 2 = 0  --> x = -2

-2  |  1   -3    -6    8

    |  ↓   -2   10   -8  

       1    -5    4    0    → remainder is 0

Reduced polynomial: x² -5x + 4

                                = (x - 4) (x - 1)

Factored form: (x + 2) (x - 4) (x - 1)

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