Related Topics:

Lesson Plans and Worksheets for Algebra I

Lesson Plans and Worksheets for all Grades

More Lessons for Algebra I

Common Core For Algebra I

Examples, videos, and solutions to help Algebra I students learn how to add and subtract polynomials.

### New York State Common Core Math Algebra I, Module 1, Lesson 8

Worksheets for Algebra I, Module 1, Lesson 8 (pdf)

^{4} + 9x) - 2(x^{4} + 13)

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Lesson Plans and Worksheets for Algebra I

Lesson Plans and Worksheets for all Grades

More Lessons for Algebra I

Common Core For Algebra I

Examples, videos, and solutions to help Algebra I students learn how to add and subtract polynomials.

Student Outcomes

Students understand that the sum or difference of two polynomials produces another polynomial and relate polynomials to the system of integers; students add and subtract polynomials.

Lesson Summary

A **monomial** is a polynomial expression generated using only the multiplication operator (__×__). Thus, it does not contain + or – operators. Monomials are written with numerical factors multiplied together and variable or other symbols each occurring one time (using exponents to condense multiple instances of the same variable)

A **polynomial** is the sum (or difference) of monomials.

The **degree of a monomial** is the sum of the exponents of the variable symbols that appear in the monomial.

The **degree of a polynomial** is the degree of the monomial term with the highest degree.

Exit Ticket

1. Must the sum of three polynomials again be a polynomial?

2. Find (w^{2} - w +1) + (w^{3} - 2w^{2} +99)

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.