Algebra-2

To divide the polynomial () by (x - 1) using synthetic division, let's go through the process step by step.

Step 1: Identify the Root

The divisor is (x - 1), so the root is:

r = 1

 

Step 2: Set Up the Coefficients

The coefficients of the polynomial () are:

3 (for )

2 (for )

-8 (for x)

5 (constant term)

 

Step 3: Synthetic Division Setup

Set up the synthetic division:

 1 |  3   2   -8   5

   |       3    5   -3

   |  3   5    -3    2

 

Step 4: Perform Synthetic Division

Write the Root:

Write 1 to the left and the coefficients to the right.

 

Bring Down the First Coefficient:

Bring down 3

 

Multiply:

Multiply 1 by 3 and write it under the next coefficient:

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