Subjects

Arithmetic

Angles

Angles Between Intersecting Lines

Easy Steps to Combine Like Terms and Understand Polynomials

Name: Knowunity
Brand: Knowunity

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Easy Steps to Combine Like Terms and Understand Polynomials

Clara Vandenbelt

@clara_tiara0

110 Followers

Understanding polynomials is essential for algebraic operations, focusing on how to combine like terms in polynomials and identifying different types of expressions.

Polynomials are classified based on the number of terms: monomials (one term), binomials (two terms), and trinomials (three terms)
Like terms share the same variables with identical powers and can be combined through addition and subtraction
The distributive property plays a crucial role when working with polynomials, especially when dealing with parentheses
Proper organization and ordering of terms in descending order helps maintain clarity in polynomial expressions
Steps for adding and subtracting polynomials involve distributing signs and combining like terms systematically

11/2/2023

213

MONOMIAL
MONOMIAL
YMONGMAL
TT
MONOMIAL
BINOMIAL:
A TYPE OF
POLYNOMIAL
Examples of polynomials:
38m -7y + 1/1/2
3
8a²- ²/2ab +66²
9
√3 xy₂³ -

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Detailed Classification of Polynomials

This page delves deeper into the specific types of polynomials and their characteristics, providing clear definitions and examples for each category.

Definition: A monomial contains exactly one term (mono = one), such as 38m.

Definition: A binomial contains exactly two terms (bi = two), such as -7y + 1/2.

Definition: A trinomial contains exactly three terms (tri = three), such as 8a² - ab + 6b².

Highlight: Polynomials can contain more than three terms and involve various powers of the same variables.

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Operations with Polynomials

This page outlines the systematic approach to performing operations with polynomials, particularly addition and subtraction.

Example: When solving (3x + 5y) + (7x - 9y), distribute the signs and combine like terms to get 10x - 4y.

Highlight: The distributive property is essential when working with polynomials, especially when dealing with negative signs.

Definition: The process of adding or subtracting polynomials follows three key steps:

Distribute signs to remove parentheses
Combine like terms
Arrange terms in descending order

Vocabulary: Descending order refers to arranging terms with the highest power of the variable first, followed by decreasing powers.

View

Understanding Basic Polynomial Types

This page introduces the fundamental concepts of polynomials and their classifications. The content focuses on understanding monomials, binomials, and trinomials as different types of polynomial expressions.

Definition: A polynomial is an expression containing multiple algebraic terms combined through addition or subtraction.

Vocabulary: Like terms are expressions with identical variables raised to the same powers, such as terms containing 7ab.

Example: Complex polynomial examples include expressions like "38m -7y + 1/2" and "8a² - 2ab + 6b²"

Highlight: The ability to identify and combine like terms is crucial for simplifying polynomial expressions.

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

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Download in

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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

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Subjects

Arithmetic

Angles

Angles Between Intersecting Lines

Easy Steps to Combine Like Terms and Understand Polynomials

Clara Vandenbelt

@clara_tiara0

110 Followers

Understanding polynomials is essential for algebraic operations, focusing on how to combine like terms in polynomials and identifying different types of expressions.

Polynomials are classified based on the number of terms: monomials (one term), binomials (two terms), and trinomials (three terms)
Like terms share the same variables with identical powers and can be combined through addition and subtraction
The distributive property plays a crucial role when working with polynomials, especially when dealing with parentheses
Proper organization and ordering of terms in descending order helps maintain clarity in polynomial expressions
Steps for adding and subtracting polynomials involve distributing signs and combining like terms systematically

11/2/2023

213

9th/8th

Arithmetic

Detailed Classification of Polynomials

This page delves deeper into the specific types of polynomials and their characteristics, providing clear definitions and examples for each category.

Definition: A monomial contains exactly one term (mono = one), such as 38m.

Definition: A binomial contains exactly two terms (bi = two), such as -7y + 1/2.

Definition: A trinomial contains exactly three terms (tri = three), such as 8a² - ab + 6b².

Highlight: Polynomials can contain more than three terms and involve various powers of the same variables.

Operations with Polynomials

This page outlines the systematic approach to performing operations with polynomials, particularly addition and subtraction.

Example: When solving (3x + 5y) + (7x - 9y), distribute the signs and combine like terms to get 10x - 4y.

Highlight: The distributive property is essential when working with polynomials, especially when dealing with negative signs.

Definition: The process of adding or subtracting polynomials follows three key steps:

Distribute signs to remove parentheses
Combine like terms
Arrange terms in descending order

Vocabulary: Descending order refers to arranging terms with the highest power of the variable first, followed by decreasing powers.

Understanding Basic Polynomial Types

Definition: A polynomial is an expression containing multiple algebraic terms combined through addition or subtraction.

Vocabulary: Like terms are expressions with identical variables raised to the same powers, such as terms containing 7ab.

Example: Complex polynomial examples include expressions like "38m -7y + 1/2" and "8a² - 2ab + 6b²"

Highlight: The ability to identify and combine like terms is crucial for simplifying polynomial expressions.

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

Easy Steps to Combine Like Terms and Understand Polynomials

Detailed Classification of Polynomials

Operations with Polynomials

Understanding Basic Polynomial Types

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

Easy Steps to Combine Like Terms and Understand Polynomials

Detailed Classification of Polynomials

Operations with Polynomials

Understanding Basic Polynomial Types

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