Easy Steps to Divide Polynomials: Long Division and Remainders for Kids

Polynomial Long Division

Subjects

Algebra 2

Dividing Polynomials & Quadratics

Dividing Quadratics by Linear Factors

327

•

Jun 30, 2023

•

1 page

Easy Steps to Divide Polynomials: Long Division and Remainders for Kids

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Brand: Knowunity

Maria Hernandez

@mariahernandez

Polynomial long division is a method for dividing polynomials, similar... Show more

Polynomial Long Division

Polynomial long division is a mathematical technique used to divide polynomials using long division with variables. This method is essential for simplifying complex polynomial expressions and finding quotients and remainders.

Definition: Polynomial long division is a process of dividing one polynomial $dividend$ by another polynomial $divisor$ to obtain a quotient and potentially a remainder.

The process of polynomial long division closely resembles the long division method used for numbers. Here's how it works:

Arrange the polynomials in descending order of degree.
Divide the first term of the dividend by the first term of the divisor.
Multiply the result by the divisor and subtract from the dividend.
Bring down the next term and repeat the process until the degree of the remainder is less than the degree of the divisor.

Example: Let's consider dividing x² - 2x - 24 by x + 4

The solution is presented step-by-step:

Set up the division: $x² - 2x - 24$ ÷ $x + 4$
Divide x² by x to get x
Multiply $x + 4$ by x: x² + 4x
Subtract: x² - 2x - 24 - $x² + 4x$ = -6x - 24
Bring down all terms
Divide -6x by x to get -6
Multiply $x + 4$ by -6: -6x - 24
Subtract: -6x - 24 - $-6x - 24$ = 0

The final result is: x² - 2x - 24 = $x + 4$ $x - 6$ + 0

Highlight: The quotient is $x - 6$ , and the remainder is 0.

Other examples provided in the image demonstrate similar processes for different polynomial divisions, including cases with remainders.

Vocabulary:

Dividend: The polynomial being divided

Divisor: The polynomial we're dividing by

Quotient: The result of the division

Remainder: What's left over after division

This method can be applied to various polynomial division problems, including those with higher degrees and more complex terms. It's a fundamental skill in algebra and forms the basis for more advanced mathematical concepts.

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Samantha Klich

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Anna

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Thomas R

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Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

Elisha

iOS user

Paul T

iOS user

Subjects

Algebra 2

Dividing Polynomials & Quadratics

Dividing Quadratics by Linear Factors

Algebra 2

•

327

•

Jun 30, 2023

•

1 page

Easy Steps to Divide Polynomials: Long Division and Remainders for Kids

Maria Hernandez

@mariahernandez

Polynomial long division is a method for dividing polynomials, similar to long division with numbers. This technique is useful for simplifying complex polynomial expressions and finding quotients and remainders. The process involves organizing terms, dividing, multiplying, subtracting, and bringing down... Show more

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Polynomial Long Division

Definition: Polynomial long division is a process of dividing one polynomial $dividend$ by another polynomial $divisor$ to obtain a quotient and potentially a remainder.

The process of polynomial long division closely resembles the long division method used for numbers. Here's how it works:

Arrange the polynomials in descending order of degree.
Divide the first term of the dividend by the first term of the divisor.
Multiply the result by the divisor and subtract from the dividend.
Bring down the next term and repeat the process until the degree of the remainder is less than the degree of the divisor.

Example: Let's consider dividing x² - 2x - 24 by x + 4

The solution is presented step-by-step:

Set up the division: $x² - 2x - 24$ ÷ $x + 4$
Divide x² by x to get x
Multiply $x + 4$ by x: x² + 4x
Subtract: x² - 2x - 24 - $x² + 4x$ = -6x - 24
Bring down all terms
Divide -6x by x to get -6
Multiply $x + 4$ by -6: -6x - 24
Subtract: -6x - 24 - $-6x - 24$ = 0

The final result is: x² - 2x - 24 = $x + 4$ $x - 6$ + 0

Highlight: The quotient is $x - 6$ , and the remainder is 0.

Other examples provided in the image demonstrate similar processes for different polynomial divisions, including cases with remainders.

Vocabulary:

Dividend: The polynomial being divided

Divisor: The polynomial we're dividing by

Quotient: The result of the division

Remainder: What's left over after division

We thought you’d never ask...

What is the Knowunity AI companion?

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

You have the choice, we offer a 100% secure payment via PayPal or an Amazon gift card. There is no limit to how much you can earn.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

Stefan S

iOS user

Samantha Klich

Android user

Anna

iOS user

Thomas R

iOS user

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

Elisha

iOS user

Paul T

iOS user

Stefan S

iOS user

Samantha Klich

Android user

Anna

iOS user

Thomas R

iOS user

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

Elisha

iOS user

Paul T

iOS user

Easy Steps to Divide Polynomials: Long Division and Remainders for Kids

Polynomial Long Division

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Easy Steps to Divide Polynomials: Long Division and Remainders for Kids

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Polynomial Long Division

We thought you’d never ask...

What is the Knowunity AI companion?

Where can I download the Knowunity app?

Is Knowunity really free of charge?

Similar Content

Quadratic Equations and Zero Property

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Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

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