Divide using synthetic division. (x^5-2x^4-10x^3+x^2-x+131)÷(x-3)

Question

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Answer 1

The steps to long division are:

1. Divide

2. Multiply

3. Subtract

4. Bring Down

Repeat these 4 steps ad nauseum.

 

Synthetic Division simplifies the process.

First, change the sign on the devisor.  Put it in a box on the left hand side.

 

Next, write just the coefficients of the main equation. Remember to include 0s for any missing terms.

 

Skip a space and draw a horizontal lines.

 

Now you are finally able to do the problem.  The steps for synthetic division are

1.  Bring down

2 .Multiply

3.  Add

Repeat steps 2 and 3 until you run out of terms.

 

Your answer will be a polynomial one degree less than what you started with.  Put the numbers on the bottom line as coefficients of the terms.

Answer 2

Sorry about this: I made a mistake, land the process of editing to correct it proed too cumbersome.