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Katyanochek1 [597]
3 years ago
9

(p^3 - 56p + 57) ÷ (p + 8) using synthethic division

Mathematics
1 answer:
pav-90 [236]3 years ago
5 0
We need to perform division given the following expression:

                            p²    - 8p   + 8
 
                          -------------------------------
              (p+8) 
√ (p³  + 0p²  -56p  +57)
                           - (p³  + 8p²)
                            ---------------------------- 
                               0p³  - 8p² -56p   + 57
                                      - (-8p    - 64p)
                                     --------------------------
                                         0p²   + 8p + 57
                                                - (8p  + 64)
                                             --------------------------
                                                    0  - 7 

The answer is p²-8p+8 + (-7/p³-56p+57).
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