Algebra-2

To divide  by , we will use synthetic division.

 

Step 1: Set up the synthetic division.

The divisor is , so we will use  for synthetic division (since if , then ).

The coefficients of the polynomial are:  (we include  for the missing  and  terms).

 

Step 2: Perform the synthetic division.

-1 |  8  -4   2   0    0    7

   |      -8  12 -14  14  -14

   |--------------------------

      8  -12 14 -14  14  -7

 

 

Step 3: Interpretation of the results.

1. Bring down the first coefficient (8).

2. Multiply 8 by  (the divisor), resulting in , and add it to the next coefficient , giving us .

3. Multiply  by , resulting in , and add it to the next coefficient , giving us .

4. Multiply  by , resulting in , and add it to the next coefficient , giving us .

5. Multiply

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