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:

7, 2, -9, 0, 4

 

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

 

Step 2: Perform Synthetic Division

Set up the synthetic division as follows:

  -1 |  7   2   -9   0   4

      |      -7   5   4   -4

     -------------------------

        7   -5   -4   4   0

 

Step-by-Step Calculation:

Bring down the first coefficient 7:

The result so far is 7

 

Multiply -1 (the divisor root) by 7:

Write -7 under the next coefficient 2.

 

Add the values in the second column:

2 + (-7) = -5

Write -5 in the result row.

 

Multiply -1 by -5:

Write 5 under the next coefficient -9.

 

Add the values in the third column:

-9 + 5 = -4

Write -4 in the result row.

 

Multiply -1 by -4:

Write 4 under the next coefficient 0.

 

Add the values in the fourth column:

0 + 4 = 4

Write 4 in the result row.

 

Multiply -1 by 4:

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