# Polynomial Division

## Original question text:

Can someone help me divide these polynomials?

1. (x^5 + y^5) divided by (x + y)2. (a^2n - a^n - 6) divided by (a^n + 8)3. (x^3 + y^3) divided by (x - y)4. (2a^2 +a + 3) divided by (a - 1)## How can Algebrator help you with this problem?

Algebrator can easily solve problems such as the one you posted on Yahoo Answers.

These type of problems are expected to be solved as factoring problems. I have also solved the last one (number 4) using our "Polynomial Long Division" wizard for you to also see another way of solving Polynomial division.

You start by entering each divison in an intuitive math editor.

Your problems have been solved using Algebrator as shown below:

Problem 1: (x^5 + y^5) divided by (x + y)

Explanation for this (or any other) step is just a click away.

Algebrator then reduces this fraction to the lowest terms.

Problem 2

(a^2n - a^n - 6) divided by (a^n + 8)

Some Important features are:

1.Flash demos, found under the drop-down menu "Help->Tutors".

The demos are also available online at "https://softmath.com/demos/", where you may simply select any of the ".htm"

files and the demo will play within your browser

2. Wizard button - for example, click the Wizard button and look under the category of "Polynomials" to see the many useful

templates for Polynomials.

3. The Explain button, which provides the mathematical logic involved in the selected step.

It is important to note that the "visibility" button allows us to see more or less steps involved in the process.

You can see each step by clicking on the "Solve step" button, and you can check the explanation for each step by clicking on the "Explain" button.

Further simplification is not possible.

Problem 3

(x^3 + y^3) divided by (x - y)

We need to factor this expression by applying the sum of two cubes rule as shown below.

Further simplification is not possible.

Problem 4

(2a^2 +a + 3) divided by (a - 1)

Long Division of Polynomials is one of the many tasks available on our Wizard section.

We need to click on the "Wizard" button to open the "Long Division" Wizard.

After we enter the dividend and the divisor polynomials we can start the solution process by clicking on the "Solve step" button.

Lets click on the "Explain" button to see where this diagram came from.

We can see the rest of the solution process by clicking on the "solve step" button several times.

If you want to find out how a specific term was obtained, you can select it and click on the "Explain" button.

Lets find out what the last step means by clicking on the "Explain" button.

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