Arithmetic with Polynomials & Rational Expressions

More Specific Topics in Arithmetic with Polynomials & Rational Expressions

Popular Tutorials in Arithmetic with Polynomials & Rational Expressions

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 Multiply Quotients of Monomials by Canceling Factors?

Multiplying fractions made up of monomials is easier than you might think! You can cancel common factors in the numerator and denominator to make things easier to work with. Then just multiply to get your final answer! This tutorial will show you how.
How Do You Divide Quotients of Monomials?

Dividing fractions made up of monomials is easier than you might think! First, turn it into a multiplication problem by multiplying by the reciprocal of the divisor. Then, you can cancel common factors in the numerator and denominator to make things easier to work with. Finally, multiply to get your final answer! This tutorial will show you how.
How Do You Multiply a Rational Expression by a Polynomial?

To multiply a rational expression by a polynomial, just turn that polynomial into a fraction, multiply, and simplify to get your answer! This tutorial shows you that process step-by-step!
How Do You Divide a Rational Expression by a Polynomial?

Dividing a rational expression by a polynomial is easier than you might think! Follow along as this tutorial takes you through that process step-by-step!
How Do You Reduce Common Factors in a Rational Expression?

Multiplying rational expressions? Want to cancel common factors out to make things easier to work with? In this tutorial, you'll see how to cancel out common factors in order to find the simplified product of two rational expression. Check it out!
How Do You Divide Two Polynomials by Factoring and Canceling?

Simplifying a rational expression? You could factor the numerator and denominator and then cancel like factors. Learn what to do in this tutorial!
How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?

Simplifying a rational expression? You could factor the numerator and denominator and then cancel like factors. Learn what to do in this tutorial!
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!
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 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 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 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 FOIL?

The FOIL method. No, not aluminum foil! The FOIL method stands for First, Outer, Inner, and Last. It's a popular way multiply two binomials together. This tutorial makes the FOIL method a breeze!
What's the Grid Method of FOILing?

Ever played tic-tac-toe? Well this method of multiplying two polynomials together revisits that game! In this tutorial, you'll see a fun alternative to the FOIL method. Learn how to set up a tic-tac-toe grid and use it to find the product of two polynomials!
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.
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!
How Do You Add Two Rational Expressions with Different Denominators?

Adding rational expressions together? Don't have common denominators? No problem! Find the least common denominator (LCD) and change each rational expression into an equivalent expression with that LCD. Once you have common denominators, you're ready to add and simplify! Watch it all in this tutorial!
How Do You Subtract Two Rational Expressions with Different Denominators?

Subtracting rational expressions? Don't have common denominators? No problem! Find the least common denominator (LCD) and change each rational expression into an equivalent expression with that LCD. Once you have common denominators, you're ready to subtract and simplify! Watch it all in this tutorial!
How Do You Multiply Two Rational Expressions?

Multiplying together two rational expression isn't so hard, especially if you know the proper steps! This tutorial will take you through all the steps necessary to multiply together two rational expressions and then simplify the product to get the answer. Check it out!
How Do You Divide Two Rational Expressions?

Dividing two rational expressions? Turn it into a multiplication problem by multiplying by the reciprocal of the second rational expression (the divisor)! This tutorial shows you how to do just that! Then, you'll see how to perform the multiplication and simplify to get you answer!
How Do You Multiply Quotients of Monomials?

Multiplying together two monomials isn't so hard, especially if you know the proper steps! This tutorial will take you through all the steps necessary to multiply together two monomials. Then, you'll see how to divide the numerator and denominator by the greatest common factor (GCF) in order to simplify and get your answer!
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 Add Two Rational Expressions with the Same Denominator?

Adding rational expressions together? If they have a common denominator, just add the numerators together and simplify. Just like you would with any other fractions! Watch the process in this tutorial.
How Do You Subtract Two Rational Expressions with the Same Denominator?

Subtracting rational expressions? If they have a common denominator, just subtract the numerators and simplify. Just like you would with any other fractions! Watch the process in this tutorial.
What's a Rational Expression?

Got a fraction with a polynomial in the numerator and denominator? You have a rational expression! Learn about rational expressions in this tutorial.
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.
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.
How Do You Expand a Power of a Binomial Sum Using the Binomial Theorem?
How Do You Add Polynomials Vertically?

Want to see how to add two polynomials vertically? Then this tutorial is for you! In this tutorial, you'll see the steps you need to follow in order to add polynomials vertically.
How Do You Subtract Polynomials Vertically?

Want to see how to subtract two polynomials vertically? Then this tutorial is for you! In this tutorial, you'll see the steps you need to follow in order to subtract polynomials vertically.
How Do You Find the Additive Inverse of a Polynomial?

Two polynomials area additive inverses if they are opposites of each other. In this tutorial, you'll see how to find the additive inverse of a given polynomial. Take a look!