Help to solve this one using synthetic division? Dividend: x^5-13x^4-120x+80 Divisor: x+3

Question

anonymous · Answer

list the coefficients and put -3 on the side 


             1               -13                  0                 0                   -120                     80

-3

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anonymous · Answer

the two zeros because you have no x^3 and no x^2  now bring down the 1


             1               -13                  0                 0                   -120                     80

-3

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            1

anonymous · Answer

1 times -3 is -3


             1               -13                  0                 0                   -120                     80

-3                              -3

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            1

anonymous · Answer

-13-3=-16


             1               -13                  0                 0                   -120                     80

-3                              -3

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            1                  -16

anonymous · Answer

-3 times -16 = 48


             1               -13                  0                 0                   -120                     80

-3                              -3                48

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            1                  -16

anonymous · Answer

0 + 48 = 48

             1               -13                  0                 0                   -120                     80

-3                              -3                48

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            1                  -16                48

anonymous · Answer

-3 times 48 is -144
             1               -13                  0                 0                   -120                     80

-3                              -3                48             -144

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            1                  -16                48

anonymous · Answer

0 -144=-144
             1               -13                  0                 0                   -120                     80

-3                              -3                48             -144

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            1                  -16                48             -144

anonymous · Answer

-3 times -144 = 432
             1               -13                  0                 0                   -120                     80

-3                              -3                48             -144                 432

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            1                  -16                48             -144

anonymous · Answer

-120 +432 = 312
             1               -13                  0                 0                   -120                     80

-3                              -3                48             -144                 432

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            1                  -16                48             -144                 312

anonymous · Answer

-3 times 312 = 936

             1               -13                  0                 0                   -120                     80

-3                              -3                48             -144                 432                   936

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            1                  -16                48             -144                 312

anonymous · Answer

and finally 80 + 936= 1016
             1               -13                  0                 0                   -120                     80

-3                              -3                48             -144                 432                   936

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            1                  -16                48             -144                 312                  1016

anonymous · Answer

aah made a mistake on the very last line.  should be 
-3 times 312= -936 and 80 - 936 = -856 
rest is right though

anonymous · Answer

answer is 
$$x^4-16x^3+48x^2-144x+312 -\frac{856}{x+3}$$