Algebra-2

To divide the polynomial by (x + 1) using synthetic division, we will follow these steps:

Step 1: Set Up Synthetic Division

 

1.Identify the coefficients of the polynomial:

Thus, the coefficients are:

4, -3, 1, 0, 6

Use -1 (the root from x + 1) for the synthetic division.

 

Step 2: Perform Synthetic Division

Set up the synthetic division as follows:

  -1 |  4   -3   1   0    6

     |        -4   7  -8   8

     -------------------------

         4   -7   8  -8  14

 

Step-by-Step Calculation:

Bring down the first coefficient 4:

The result so far is 4

 

Multiply -1 (the divisor root) by 4:

Write -4 under the next coefficient -3

 

Add the values in the second column:

-3 + (-4) = -7

Write -7 in the result row.

 

Multiply -1 by -7:

Write 7 under the next coefficient 1

 

Add the values in the third column:

1 + 7 = 8

Write 8 in the result row.

 

Multiply -1 by 8:

Write -8 under the next coefficient 0

 

Add the values in the fourth column:

0 + (-8) = -8

Write -8 in the result row.

 

Multiply -1 by -8:

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