Easy Ways to Factor Difference of Squares and Polynomials

Factoring Polynomials

Subjects

Algebra 1

Binomials & Polynomials

Special Products of Binomials

506

•

Jul 4, 2025

•

1 page

Easy Ways to Factor Difference of Squares and Polynomials

Name: Knowunity
Brand: Knowunity

kara

@kara_mchq

This polynomial factoring guide covers key techniques for factoring different... Show more

FACTORING
POLYNOMIALS
DIFFERENCE
OF SQUARES
a²-b²
Example(s):
• x²-64
●
(X+8)(x-6)
x² -64 (x+10) (x-10)
18m²n-2n3
2n
in (9m²-n²)
2n
1(3m+n)

Factoring Polynomials Overview

This page provides a comprehensive guide on factoring different types of polynomials, including difference of squares, trinomials, and polynomials with 4 terms. Each factoring method is explained with step-by-step instructions and examples.

Difference of Squares

The first section covers factoring difference of squares polynomials. These are polynomials in the form a²-b².

Definition: The difference of squares formula is $a+b$ $a-b$ = a²-b².

To factor, identify the terms that are perfect squares and apply the formula.

Example: x²-64 factors to $x+8$ $x-8$

Example: 18m²n-2n³ factors to 2n $3m+n$ $3m-n$

Trinomials

The guide then explains how to factor trinomials, both with and without leading coefficients.

For trinomials in the form x²+bx+c:

Find factors of c that add up to b
Write the factored form $x+p$ $x+q$

Example: x²-x-42 factors to $x-7$ $x+6$

For trinomials with leading coefficients $ax²+bx+c$ , the "Slip and Slide" method is introduced.

Example: 30x²-27x+6 factors to 3 $10x²-9x+2$ , which further factors to 3 $2x-1$ $5x-2$

Grouping Method

The final section covers factoring polynomials using grouping method, which is useful for polynomials with 4 terms.

Example: $2a³-a²b$ + $10a-5b$ factors to $a²+5$ $2a-b$

Highlight: Always look for a Greatest Common Factor $GCF$ before applying other factoring methods.

This guide provides a comprehensive overview of factoring polynomials, equipping students with the tools to tackle various types of polynomial factoring problems.

We thought you’d never ask...

What is the Knowunity AI companion?

Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

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.

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Android user

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iOS user

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Brad T

Android user

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iOS user

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Android user

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Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

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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

Subjects

Algebra 1

Binomials & Polynomials

Special Products of Binomials

Algebra 1

•

506

•

Jul 4, 2025

•

1 page

Easy Ways to Factor Difference of Squares and Polynomials

kara

@kara_mchq

This polynomial factoring guide covers key techniques for factoring different types of polynomials, including difference of squares, trinomials, and grouping methods. It provides step-by-step instructions and examples for each factoring approach.

Difference of squares factoring for polynomials in the form... Show more

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Factoring Polynomials Overview

Difference of Squares

The first section covers factoring difference of squares polynomials. These are polynomials in the form a²-b².

Definition: The difference of squares formula is $a+b$ $a-b$ = a²-b².

To factor, identify the terms that are perfect squares and apply the formula.

Example: x²-64 factors to $x+8$ $x-8$

Example: 18m²n-2n³ factors to 2n $3m+n$ $3m-n$

Trinomials

The guide then explains how to factor trinomials, both with and without leading coefficients.

For trinomials in the form x²+bx+c:

Find factors of c that add up to b
Write the factored form $x+p$ $x+q$

Example: x²-x-42 factors to $x-7$ $x+6$

For trinomials with leading coefficients $ax²+bx+c$ , the "Slip and Slide" method is introduced.

Example: 30x²-27x+6 factors to 3 $10x²-9x+2$ , which further factors to 3 $2x-1$ $5x-2$

Grouping Method

The final section covers factoring polynomials using grouping method, which is useful for polynomials with 4 terms.

Example: $2a³-a²b$ + $10a-5b$ factors to $a²+5$ $2a-b$

Highlight: Always look for a Greatest Common Factor $GCF$ before applying other factoring methods.

This guide provides a comprehensive overview of factoring polynomials, equipping students with the tools to tackle various types of polynomial factoring problems.

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 Ways to Factor Difference of Squares and Polynomials

Factoring Polynomials Overview

Difference of Squares

Trinomials

Grouping Method

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

Add polynomials

adding polynomials worksheet

Resumen Álgebra (1º Bachillerato)

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

Students love us — and so will you.

4.9/5

4.8/5

Easy Ways to Factor Difference of Squares and Polynomials

Sign up to see the contentIt's free!

Factoring Polynomials Overview

Difference of Squares

Trinomials

Grouping Method

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

Add polynomials

adding polynomials worksheet

Resumen Álgebra (1º Bachillerato)

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

Students love us — and so will you.

4.9/5

4.8/5