Math Tutorial 11.2 - Operations with Polynomials

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There are 9 lessons in this math tutorial covering Operations with Polynomials. The tutorial starts with an introduction to Operations with 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 Operations with Polynomials. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • What are like and unlike terms in a polynomial?
  • What is the leading term of a polynomial?
  • What is the leading term for the leading coefficient of a polynomial?
  • How to write a polynomial in the standard form
  • How to add/subtract polynomials
  • How to multiply polynomials
  • How to divide two monomials
  • How to divide a polynomial and a monomial
  • How to divide two polynomials
  • How to raise a polynomial to a given power
  • How to graph a polynomial
  • How to find the zeroes of a polynomial analytically
  • How to find the zeroes of a polynomial by its graph


In the previous tutorial, we had a general view of monomials and polynomials. Now, we will further extend the study of these concepts by introducing new elements including "like" and "unlike" terms, "leading" terms and "leading coefficients", etc. Moreover, we will explain how to complete basic math operations with polynomials.

Another important concept explained here is the zeroes of a polynomial. At the end of this tutorial, you will know how to find the zeroes of a polynomial by using its associated graph.

Please select a specific "Operations with 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 IDMath Tutorial TitleTutorialVideo
11.2Operations with Polynomials
Lesson IDMath Lesson TitleLessonVideo
11.2.1The Like and Unlike Terms in Polynomials
11.2.2The Leading Term and Leading Coefficient of a Polynomial
11.2.3The Addition and Subtraction of Polynomials
11.2.4The Multiplication of Polynomials
11.2.5The Division of Two Monomials
11.2.6The Division of a Polynomial by a Monomial
11.2.7The Division of Two Polynomials
11.2.8The Power of Polynomials
11.2.9The Graphing Polynomials

Whats next?

Enjoy the "Operations with Polynomials" math tutorial? People who liked the "Operations with Polynomials" tutorial found the following resources useful:

  1. Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
  2. Polynomials Video tutorial: Operations with Polynomials. Watch or listen to the Operations with Polynomials video tutorial, a useful way to help you revise when travelling to and from school/college
  3. Polynomials Revision Notes: Operations with Polynomials. Print the notes so you can revise the key points covered in the math tutorial for Operations with Polynomials
  4. Polynomials Practice Questions: Operations with Polynomials. Test and improve your knowledge of Operations with Polynomials with example questins and answers
  5. 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.
  6. Continuing learning polynomials - read our next math tutorial: Solutions for Polynomial Equations

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