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Easy Steps to Combine Like Terms and Understand Polynomials

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Clara Vandenbelt

11/2/2023

Arithmetic

Types of Polynomials: Monomial, Binomial, and Trinomial

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Easy Steps to Combine Like Terms and Understand Polynomials

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

262

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=onemono = one, such as 38m.

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

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

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

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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Operations with Polynomials

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

Example: When solving 3x+5y3x + 5y + 7x−9y7x - 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:

  1. Distribute signs to remove parentheses
  2. Combine like terms
  3. Arrange terms in descending order

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

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Subjects

Arithmetic

Angles

Angles Between Intersecting Lines

 

Arithmetic

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262

•

Nov 2, 2023

•

3 pages

Easy Steps to Combine Like Terms and Understand Polynomials

user profile picture

Clara Vandenbelt

@clara_tiara0

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... Show more

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=onemono = one, such as 38m.

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

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

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

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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Operations with Polynomials

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

Example: When solving 3x+5y3x + 5y + 7x−9y7x - 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:

  1. Distribute signs to remove parentheses
  2. Combine like terms
  3. Arrange terms in descending order

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

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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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.

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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

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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

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

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

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

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

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user