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babunello [35]
3 years ago
11

Find the remainder of (h4 + h2 – 2) ÷ (h + 3).

Mathematics
1 answer:
dem82 [27]3 years ago
5 0
We can solve the problem by two methods: Synthetic division and long division.

Synthetic division:
-3 | 1  0  1       0    -2
        -3  9   -30   90
   ---------------------------
     1  -3  10  -30   88
The remainder is 88.

By long division:
                        h^3 -3h^2 + 10h -30
          ---------------------------------------
x + 3 | h^4 + 0h^3 + h^2 + 0h -2
           h^4 + 3h^3
          ----------------
                   -3h^3 + h^2  + 0h  -2
                   -3h^3 -9h^2
                 -------------------------------
                              10h^2  + 0h  -2
                              10h^2 +30h
                            -----------------------
                                        -30h - 2
                                        -30h -90
                                       --------------
                                                   88
The remainder is 88
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