Polynomials and Polynomial Functions

More Specific Topics in Polynomials and Polynomial Functions

Popular Tutorials in Polynomials and Polynomial Functions

How Do You Add Polynomials?

To add polynomials of any size, just group like terms and then combine them together. To see it done step-by-step, watch this tutorial!
How Do You Multiply Binomials Using the Distributive Property?

Multiplying together two binomials? Not a fan of the FOIL method, or just want to see another way? Check out this tutorial! You'll see how to distribute one binomial into the other in order to find the product. You get the same answer no matter which method you use, so be sure to add this method to your arsenal!
How Do You Use the Formula for the Product of a Sum and a Difference?

Finding the product of two binomials with the same terms and opposite signs? You're finding the product of a sum and a difference! Use the formula for the product of a sum and a difference to quickly find the answer! This tutorial shows you how.
How Do You Simplify An Expression With Negative Exponents?

This tutorial shows you how to fully simplify an expression and write the answer without using negative exponents. Follow along and see how you can use the quotient of powers rule to help!
How Do You Find the Product of Powers?

When you learn about rule or property, it's best to practice with it. This tutorial takes you through the process of applying product of powers rule to simplify an expression. Check out this tutorial for some great practice!
How Do You Find the Quotient of Powers with Variables?

Being able to use a property or rule can be as important as knowing it. In this tutorial, you'll see how to use the quotient of powers rule to simplify an expression. Take a look!
What's the Power of a Quotient Rule?

Got a fraction raised to a power? Learn how to split that exponent and put it in the numerator and denominator of your fraction using the power of a quotient rule. This tutorial shows you how!
How Do You Divide a Polynomial by a Monomial Using Long Division?

You can use long division to divide a polynomial by a binomial! Want to learn how? Check out this tutorial!
What are Exponents?

Did you know that another word for 'exponent' is 'power'? To learn the meaning of these words and to see some special cases involving exponents, check out this tutorial!
How Do You Solve a Word Problem by Multiplying Trinomials?

Word problems allow you to see the real world uses of math! In this tutorial, learn how to find the area of a quilt using polynomials as the measurement of each side.
How Do You Subtract Polynomials?

Subtracting polynomials? No problem! Just distribute the negative sign to the second polynomial and then combine like terms. Watch this tutorial to see how it's done!
How Do You Find the Volume of a Box Whose Sides are Monomials?

This tutorial shows you how to find the volume of a box. The fun part? The measurement of each side is a monomial! Watch this tutorial to see how to find the product of three monomials.
How Do You Multiply Monomials?

Multiplying monomials? Group constants and like variables together before you multiply. See how to find the product of three monomials in this tutorial.
How Do You Solve a Word Problem by Dividing Monomials?

Triangles, monomials, and ratios, oh my! Don't worry. It's easier than you think! Watch this tutorial to learn about dividing monomials.
How Do You Divide Monomials Using Quotient of Powers?

Dividing monomials? The quotient of powers rule can help! Learn how divide monomials in this tutorial.
How Do You Solve a Word Problem by Taking a Monomial to a Power?

This tutorial shows you how to find the volume of a cube box. The fun part? The measurement of each side is a monomial! Watch this tutorial to see how to cube a monomial.
How Do You Take a Monomial to a Power?

Got a monomial raised to a power? Want to simplify it? You could use the power of a product rule. You may also need the power of a power rule too. In this tutorial, you'll see how to simplify a monomial raise to a power.
How Do You Solve a Word Problem by Multiplying with Scientific Notation?

Dealing with a word problem involving really big (or really small) numbers? This one has both! In this tutorial, you'll see how to use scientific notation to solve a word problem.
How Do You Multiply Two Numbers Using Scientific Notation?

Multiplying together two really large numbers? What about two really small numbers? How about one of each? Scientific notation to the rescue! Watch this tutorial and learn how to multiply using scientific notation.
How Do You Convert From Decimal Notation to Scientific Notation?

Trying to convert a really large or really small number to scientific notation? Watch this tutorial and you'll be a pro in no time!
How Do You Multiply Trinomials?

Once you know how to multiply two binomials together, try your hand at multiplying two trinomials together! This tutorial takes you through the process step-by-step. The best part? This process is the same for ANY polynomials you want to multiply together!
How Do You Convert From Scientific Notation to Decimal Notation?

Trying to convert a number in scientific notation to decimal notation? Watch this tutorial and you'll be a pro in no time!
How Do You Solve a Word Problem by Multiplying Binomials?

Word problems allow you to see the real world uses of math! In this tutorial, learn how to find the area of a quilt using binomials as the measurement of each side. Use the FOIL method to multiply those binomials together and get your answer!
How Do You Multiply Binomials Using FOIL?

Looking for practice using the FOIL method? This tutorial delivers! It takes you step-by-step through the FOIL method as you multiply together to binomials.
How Do You Find the Area of a Rectangle Whose Sides are Binomials?

Word problems allow you to see the real world uses of math! This tutorial uses the product of a sum and difference rule to find the original side lengths of a garden. Take a look!
How Do You Solve a Word Problem by Subtracting and Multiplying Polynomials?

Word problems let you see math in action! In this tutorial, you'll see how to solve a word problem by multiplying and subtracting polynomials. Check it out!
How Do You Find the Area of a Rectangle Whose Sides are a Monomial and a Polynomial?

Word problems allow you to see the real world uses of math! In this tutorial, learn how to find the area of a garden using polynomials as the measurement of each side.
How Do You Multiply a Monomial by a Polynomial?

Multiplying a monomial by a trinomial? Apply the distributive property! See how it's done by watching this tutorial.
How Do You Solve a Word Problem by Subtracting Polynomials?

Word problems let you see math in action! This tutorial deals with the measurements of the sides of a picture frame. The fun part? The measurements are polynomials! Check it out!
What's the Product of Powers Rule?

Working with exponents can be lots of fun, as long as you understand how they work. In this tutorial you'll see how exponents add when you multiply the same number raised to different exponents!
How Do You Find the Degree of a Monomial?

Monomials are just math expressions with a bunch of numbers and variables multiplied together, and one way to compare monomials is to keep track of the degree. So what's a degree? Well, if you've ever wondered what 'degree' means, then this is the tutorial for you.
What is a Polynomial?

If you learn about algebra, then you'll see polynomials everywhere! In this tutorial, you'll learn the definition of a polynomial and see some of the common names for certain polynomials.
What's the Formula for the Square of a Sum?

Comes in handy when you're factoring, and this tutorial will show you how to square like a pro!
What's the Formula for the Square of a Difference?

Comes in handy when you're factoring, and this tutorial will show you how to square like a pro!
What's the Formula for the Product of a Sum and a Difference?

Multiplying monomials like (a + b) and (a - b) is really important when it comes to factoring, so if you want to get good at factoring, you're going to have to understand how to multiply a sum like (a + b) with a difference like (a - b)!
What's the Power of a Power Rule?

Sometimes you'll see a number with an exponent raised to another exponent, and the first time you see it, you probably think it's a typo! But it's not a typo, it's a real thing, and there's a really nice trick for making it simpler that you'll see in the video.
What's a Monomial?

If you learn about algebra, then you'll see monomials everywhere! Watch this tutorial and learn what makes a monomial, and what does not.
What's the Power of a Product Rule?

There's a great trick for raising a product of two number to an exponent, and this tutorial shows you exactly that trick works.
How Do You Take the Power of a Monomial?

Taking a monomial to a power isn't so hard, especially if you watch this tutorial about the power of a monomial rule!
What's the Quotient of Powers Rule?

Working with exponents can be lots of fun, as long as you understand how they work. In this tutorial you'll see how exponents add when you divide the same number raised to different exponents!
What Do You Do With a Zero Exponent?

A lot of people get a little uneasy when they see 0, especially when that 0 is the exponent in some expression. After all, there seem to be so many rules about 0, and so many special cases where you're not allowed to do something. Well it turns out that a zero in the exponent is one of the best things that you can have, because it makes the expression really easy to figure out. Watch this tutorial, and next time you see 0 in the exponent, you'll know exactly what to do!
What Do You Do With a Negative Exponent?

Do you ever panic when you see a negative number in the exponent of some mathematical expression? Well if you do, then panic no more! This tutorial will help you overcome your fear, and will help you understand what negative exponents actually mean :)
What's Scientific Notation?

Sometimes a number is so big (or so small), that it takes a while to write it all down. Luckily, this number can be written quicker using scientific notation! Watch this tutorial and learn about scientific notation.
How Do You Use a Polynomial Equation to Solve a Word Problem?

Word problems let you see math in the real world! In this tutorial, see how to write an equation from a diagram to help find the perimeter of a bedroom. Take a look!
How Do You Use a Solve a Polynomial Equation With Two Variables?

Got an equation with polynomials involving multiple variables on both sides? You can factor out the greatest common factor, then factor by grouping, and then use the zero-product property to solve. Follow along with this tutorial to see a step-by-step explanation!
How Do You Factor a Polynomial Using Sum of Cubes?

Factoring a binomial involving addition? Can you rewrite each term as a cubed expression? Then you have a sum of cubes problem! Learn how to identify and factor a sum of cubes problem by watching this tutorial.
How Do You Factor a Polynomial Using Difference of Cubes?

Factoring a binomial involving subtraction? Can you rewrite each term as a cubed expression? Then you have a difference of cubes problem! Learn how to identify and factor a sum of cubes problem by watching this tutorial.
How Do You Factor a 4-Term Polynomial by Grouping?

Factoring by grouping is one way to factor a polynomial. This tutorial shows you how to take a polynomial and factor it into the product of two binomials. Then, check your answer by FOILing the binomials back together!
What's the Standard Form of a Polynomial?

In order for a polynomial to be in standard form, two rules must be met. Learn about the standard form of a polynomial by watching this tutorial!
How Do You Find the Degree of a Polynomial?

Terms and polynomials can't run a fever, but they do have degrees! This tutorial will tell you all about the degree of a term and of a polynomial and will show you how to find it!
What's a Prime Polynomial?

If the only factors a polynomial are 1 and itself, then that polynomial is prime. To learn all about prime polynomials, check out this tutorial!
How Do You Figure Out What Factoring Strategy to Use?

When your trying to factor a polynomial, one of the most difficult tasks can be determining the correct factoring strategy. Luckily, this tutorial provides a great strategy for factoring polynomials! Check it out and always know how to approach factoring a polynomial!
How Do You Do Long Division With Polynomials?

Dividing polynomials? Use long division! Follow along as this tutorial shows you how to perform long division with polynomial. Check it out!
How Do You Graph a Polynomial Function by Making a Table?

How could you graph a complicated polynomial function? By making a table of course! In this tutorial, you'll see how a table is made and used to graph a higher order polynomial function.
How Do You Determine the Zeros of a Polynomial Function from a Table of Values?

If you have a table of values, you can to find where the zeros of the function will occur. Just use the Location Principle! Follow along with this tutorial to see how a table of points and the Location Principle can help you find where the zeros will occur.
How Do You Find All the Rational Zeros of a Polynomial Function?

Polynomial functions with integer coefficients may have rational roots. The Rational Root Theorem lets you determine the possible candidates quickly and easily! Watch the video to learn more.
How Do You Factor a 6-Term Polynomial by Grouping?

Factoring by grouping is a strong skill! In this tutorial, you'll practice factoring by grouping on a six term polynomial!
How Do You Translate a Polynomial Function Vertically?

Translating functions can be fun when you know what to do. This tutorial helps you practice translating a function and writing the new function and graph!
What is the Fundamental Theorem of Algebra?

Does every polynomial function have a solution? The answer can be found through the Fundamental Theorem of Algebra! This tutorial introduces you to the theorem and explains how its meaning.
What is a Leading Coefficient?

Where do you think a leading coefficient is located in a polynomial? The name gives a great hint! This tutorial introduces you to the leading coefficient of a polynomial and shows you exactly where it's located.
What is Quadratic Form of a Polynomial Equation?

Did you know that sometimes quadratics can be used to make a more complicated polynomial easier to work with? This tutorial introduces you to quadratic form and shows you what a polynomial needs to have in order to be written in that form.
What is a Depressed Polynomial?

Are depressed polynomials just polynomials that are really sad? Not really, but they are the result of dividing something from an original polynomial. This tutorial introduces you to depressed polynomials and shows you how we get them!
What is the Factor Theorem?

Trying to figure out if a given binomial is a factor of a certain polynomial? This tutorial can help you find the answer! Follow along to learn about the Factor Theorem and how it can be used to find the factors and zeros of a polynomial.