Simone S.

asked • 07/22/18

Use long division P(x)=x^4 - 6x^2 - 27 d(x) = x + 3

help with long division

1 Expert Answer

By:

Andy C. answered • 07/22/18

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           x^3   -3x^2  + 3x - 9
       _________________________
x+3 |   x^4  + 0x^3  - 6x^2    + 0x  -  27
           x^4  + 3x^3
        -------------------------
                   -3x^3  - 6x^2
                  - 3x^3 -  9x^2
                  ------------------
                                3x^2  + 0x
                               3x^2 + 9x
                               ---------------
                                          -9x - 27
 
 
CHECK:
 
(x+3)(x^3 -3x^2 + 3x - 9) =
 
  x^4 - 3x^3 + 3x^2 - 9x 
         +3x^3 - 9x^2 +9x - 27
 
= x^4 - 6x^2 - 27
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