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There are 8 lessons in this math tutorial covering The Definition of Monomials and Polynomials. The tutorial starts with an introduction to The Definition of Monomials and Polynomials and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of The Definition of Monomials and Polynomials. you can access all the lessons from this tutorial below.
In this Math tutorial, you will learn:
- What are monomials? What is their structure?
- What are the components of a monomial?
- What is a polynomial?
- What is the difference between a polynomial and an algebraic expression?
- What does a term of a polynomial represent?
- What is the difference between coefficients and constants in a polynomial?
- What is the degree of a polynomial? How do we find it?
- How do we name polynomials based on their degree?
- How do we find the value of polynomials?
- What are the zeroes of a polynomial? How would you find them?
- How do you find the zeroes of high-order polynomials?
- What are homogenous and non-homogenous polynomials? How do you know which of these categories a polynomial does belong?
Introduction
Do you remember from the 6th chapter what algebraic expressions are? What do they consist of?
What do we call the elements of an algebraic expression? Which mathematical operators separate the terms of an algebraic expression from each other?
Which mathematical operators are closer to each other and which of them are hardly combined?
In this tutorial, we will explain monomials and polynomials - two fundamental concepts of algebra. Since polynomials are similar to algebraic expressions, we will explain them based on the concepts explained in the sixth chapter of this course.
Please select a specific "The Definition of Monomials and Polynomials" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.
Polynomials Learning Material| Tutorial ID | Math Tutorial Title | Tutorial | Video
Tutorial | Revision
Notes | Revision
Questions |
|---|
| 11.1 | The Definition of Monomials and Polynomials | | | | |
| Lesson ID | Math Lesson Title | Lesson | Video
Lesson |
|---|
| 11.1.1 | The Definition of Monomials | | |
| 11.1.2 | The Definition of Polynomials | | |
| 11.1.3 | The Degree of Polynomials | | |
| 11.1.4 | The Names of Polynomials by Degree | | |
| 11.1.5 | Finding the Value of Polynomials | | |
| 11.1.6 | Finding the Zeroes of a Polynomial | | |
| 11.1.7 | Finding the Zeroes of Polynomials through Iterative Methods | | |
| 11.1.8 | The Homogenous and Non-Homogenous Polynomials | | |
Whats next?
Enjoy the "The Definition of Monomials and Polynomials" math tutorial? People who liked the "The Definition of Monomials and Polynomials" tutorial found the following resources useful:
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- Polynomials Video tutorial: The Definition of Monomials and Polynomials. Watch or listen to the The Definition of Monomials and Polynomials video tutorial, a useful way to help you revise when travelling to and from school/college
- Polynomials Revision Notes: The Definition of Monomials and Polynomials. Print the notes so you can revise the key points covered in the math tutorial for The Definition of Monomials and Polynomials
- Polynomials Practice Questions: The Definition of Monomials and Polynomials. Test and improve your knowledge of The Definition of Monomials and Polynomials with example questins and answers
- Check your calculations for Polynomials questions with our excellent Polynomials calculators which contain full equations and calculations clearly displayed line by line. See the Polynomials Calculators by iCalculator™ below.
- Continuing learning polynomials - read our next math tutorial: Operations with Polynomials
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