About This Chapter
How It Works:
- Identify the lessons in the Saxon Polynomials chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the polynomials topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn:
- Monomials, binomials and trinomials
- Understanding degrees of polynomials
- Operations with polynomials
- Dividing polynomials when dividends are missing
- How to factor by grouping
Saxon is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.
1. Monomial: Definition, Examples & Factors
A monomial is a polynomial with only one term. In this lesson, you will learn how to identify and factor monomials, then take a quiz to cement your understanding.
2. Binomial: Definition & Examples
Binomial is a little term for a unique mathematical expression. Learn what makes binomials so special, how to easily identify them, and the mathematical operations that can be performed on them. After the lesson, test yourself with a quiz.
3. Binomials: Difference of Two Squares
Sometimes a difficult calculation can be simplified and a complicated math expression can be made smaller with factoring formulas. In this lesson we explore one of the factoring formulas called the difference of squares.
4. Binomials: Sum and Difference of Two Cubes
Math derivations often benefit by writing expressions in different forms. Factoring is a common strategy. In this lesson we show how to factor the sum and difference of cubes.
5. Trinomials: Factoring, Solving & Examples
Trinomials can have different leading coefficients and therefore, have to be factored differently. Learn how to factor and solve any trinomial. Then, test your knowledge with a quiz.
6. Trinomials: Common Factors & Common Factor Sums
In this lesson, we'll explore common factors and trinomials. We'll also learn how to find a greatest common factor and how to factor trinomials using the greatest common factor.
7. Trinomials: Lead Coefficients Greater Than One
This lesson defines polynomials and lead coefficients. Examples are given of how to write a polynomial in standard form and how to determine the lead coefficient.
8. What Are Degrees of Polynomials?
Polynomials are expressions that are often used to model real world phenomena. Let's look at a characteristic of polynomials called the degree of a polynomial. We will see how to find the degree of a polynomial and why this information is useful.
9. How to Add, Subtract and Multiply Polynomials
Adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about, but this video will show you that's no problem, so no worries! This method has worked for many of my students, and I think it will work for you, too!
10. How to Divide Polynomials with Long Division
Arithmetic long division and polynomial long division are very similar. Yes, it's a long process, but once you have the rhythm you will get every problem correct!
11. Polynomial Division: Missing Dividends
At a middle-school level, this lesson will explain how to divide polynomials with missing terms in the dividends. Polynomials and monomials will be defined.
12. Factoring By Grouping: Steps, Verification & Examples
How do you factor an expression if all the terms don't share a common factor? Grouping! In this lesson, we'll learn how to use grouping to help factor expressions.
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the Saxon Algebra 1 Homeschool: Online Textbook Help course
- Saxon Algebra 1: Operations With Whole Numbers
- Saxon Algebra 1: Fractions
- Saxon Algebra 1: Decimal Numbers
- Saxon Algebra 1: Graphs on the Coordinate Plane
- Saxon Algebra 1: Sets
- Saxon Algebra 1: Real Numbers
- Saxon Algebra 1: Number Theory
- Saxon Algebra 1: Properties of Real Numbers
- Saxon Algebra 1: Conversion by Unit Multipliers
- Saxon Algebra 1: Ratio, Rate & Proportion
- Saxon Algebra 1: Percent
- Saxon Algebra 1: Exponents
- Saxon Algebra 1: Roots
- Saxon Algebra 1: Probability
- Saxon Algebra 1: Statistics
- Saxon Algebra 1: Simplifying Expressions
- Saxon Algebra 1: Simplifying Rational Expressions
- Saxon Algebra 1: Simplifying and Solving Equations
- Saxon Algebra 1: Linear Equations
- Saxon Algebra 1: Quadratic Equations
- Saxon Algebra 1: Other Types of Equations
- Saxon Algebra 1: Understanding Functions
- Saxon Algebra 1: Lines, Points, Segments, and Planes
- Saxon Algebra 1: Angles
- Saxon Algebra 1: Polygons
- Saxon Algebra 1: Circles
- Saxon Algebra 1: Triangles
- Saxon Algebra 1: Geometric Solids
- Saxon Algebra 1: Perimeter and Circumference
- Saxon Algebra 1: Area
- Saxon Algebra 1: Surface Area and Volume
- Saxon Algebra 1: Pythagorean Theorem