Algebra-2

To divide by , we will use synthetic division.

Step 1: Set up the synthetic division.

The divisor is x - 1, so we will use 1 for synthetic division.

The coefficients of the polynomial are:

6, 5, -3, 0, 2

 

Step 2: Perform the synthetic division.

1  |  6   5   -3    0   2

   |        6   11   8   8

   |-----------------------

      6    11   8   8  10

 

Step 3: Interpretation of the results.

1.Bring down the first coefficient (6).

2.Multiply 6 by 1 (the divisor), resulting in 6, and add it to the next coefficient (5), giving us (11).

3.Multiply 11 by 1, resulting in 11, and add it to the next coefficient (-3), giving us (8).

4.Multiply 8 by 1, resulting in 8, and add it to the next coefficient (0), giving us (8).

5.Multiply 8 by 1, resulting in 8, and add it to the last coefficient (2), giving us (10) (which is the remainder).

 

Final Result:

The quotient is

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