Subjects

Math (SAT®)

Passport to Advanced Math

Polynomial Expressions

How to Add, Subtract, and Multiply Polynomials: Easy Steps with Fun Examples!

Name: Knowunity
Brand: Knowunity

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How to Add, Subtract, and Multiply Polynomials: Easy Steps with Fun Examples!

haley

@haleys_guide

13 Followers

Polynomial operations guide covering addition, subtraction, and multiplication with detailed examples and special product patterns.

Add subtract multiply polynomials with examples demonstrates how to align like terms and perform operations systematically
Guided practice multiplying polynomials step-by-step shows the process of multiplying polynomials both vertically and horizontally
Special product patterns in polynomial operations introduces important formulas like (a + b)², (a - b)², and (a + b)(a - b)
Comprehensive answer key provided for self-checking and verification
Multiple worked examples showcase different polynomial operation scenarios

9/22/2023

152

Add, Subtract, and Multiply Polynomials
To add or subtract polynomials, line up the coefficients with like terms and then add or subtract
th

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Polynomial Operations Guide

This comprehensive guide covers the fundamentals of polynomial operations, focusing on addition, subtraction, and multiplication techniques. The content is structured to build understanding through progressive examples and special patterns.

Definition: Polynomials are algebraic expressions containing variables with whole number exponents combined using addition, subtraction, and multiplication.

Highlight: When adding or subtracting polynomials, always align like terms before performing operations.

Example: For adding polynomials: (2x + 5x³ + 3x²) + (-2x² - 2x³ + 3x²) = 5x³ - 2x³ + 3x² + x² + 2x = 3x³ + 4x² + 2x

Vocabulary: Like terms are terms that have the same variables raised to the same powers.

The page introduces Special product patterns in polynomial operations including:

(a + b)(a - b) = a² - b²
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
(a + b)³ = a³ + 3a²b + 3ab² + b³
(a - b)³ = a³ - 3a²b + 3ab² - b³

Example: Using special product pattern: (y + 2)(y - 2) = y² - 4 (y + 5)² = y² + 10y + 25

The guide concludes with detailed answer keys and solutions to practice problems, ensuring complete understanding of polynomial operations.

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

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Subjects

Math (SAT®)

Passport to Advanced Math

Polynomial Expressions

How to Add, Subtract, and Multiply Polynomials: Easy Steps with Fun Examples!

haley

@haleys_guide

13 Followers

Polynomial operations guide covering addition, subtraction, and multiplication with detailed examples and special product patterns.

Add subtract multiply polynomials with examples demonstrates how to align like terms and perform operations systematically
Guided practice multiplying polynomials step-by-step shows the process of multiplying polynomials both vertically and horizontally
Special product patterns in polynomial operations introduces important formulas like (a + b)², (a - b)², and (a + b)(a - b)
Comprehensive answer key provided for self-checking and verification
Multiple worked examples showcase different polynomial operation scenarios

9/22/2023

152

9th/10th

Math (SAT®)

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Polynomial Operations Guide

Definition: Polynomials are algebraic expressions containing variables with whole number exponents combined using addition, subtraction, and multiplication.

Highlight: When adding or subtracting polynomials, always align like terms before performing operations.

Example: For adding polynomials: (2x + 5x³ + 3x²) + (-2x² - 2x³ + 3x²) = 5x³ - 2x³ + 3x² + x² + 2x = 3x³ + 4x² + 2x

Vocabulary: Like terms are terms that have the same variables raised to the same powers.

The page introduces Special product patterns in polynomial operations including:

(a + b)(a - b) = a² - b²
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
(a + b)³ = a³ + 3a²b + 3ab² + b³
(a - b)³ = a³ - 3a²b + 3ab² - b³

Example: Using special product pattern: (y + 2)(y - 2) = y² - 4 (y + 5)² = y² + 10y + 25

The guide concludes with detailed answer keys and solutions to practice problems, ensuring complete understanding of polynomial operations.

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

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

How to Add, Subtract, and Multiply Polynomials: Easy Steps with Fun Examples!

Polynomial Operations Guide

Similar Content

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

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying

How to Add, Subtract, and Multiply Polynomials: Easy Steps with Fun Examples!

Sign up to see the content. It's free!

Polynomial Operations Guide

Similar Content

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

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying