Polynomials and Factoring


More Specific Topics in Polynomials and Factoring


Popular Tutorials in Polynomials and Factoring

    • How Do You Add Polynomials?How Do You Add Polynomials?

    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?How Do You Multiply Binomials Using the Distributive Property?

    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?How Do You Use the Formula for the Product of a Sum and a Difference?

    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 Factor a Trinomial?How Do You Factor a Trinomial?

    How Do You Factor a Trinomial?

    Factoring trinomials can by tricky, but this tutorial can help! Follow along as a trinomial is factored right before your eyes! Then, check your answer by using the FOIL method to multiply the binomials back together and see if you get the original trinomial.

    • How Do You Write the Prime Factorization of a Number Using Exponents?How Do You Write the Prime Factorization of a Number Using Exponents?

    How Do You Write the Prime Factorization of a Number Using Exponents?

    When you're writing the prime factorization of a number, you may be able to use exponents to quickly show all the factors. This tutorial shows you how to find the prime factorization of a number and use exponents to write the answer!

    • How Do You Use a Shortcut to Factor a Perfect Square Trinomial?How Do You Use a Shortcut to Factor a Perfect Square Trinomial?

    How Do You Use a Shortcut to Factor a Perfect Square Trinomial?

    Factoring a perfect square trinomial? Did you know there's a shortcut to factoring this special kind of trinomial? Check it out! It's pretty cool, and it may make this process a little faster!

    • How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?

    How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?

    This tutorial uses something called a factor tree to find the greatest common factor of two numbers. Creating a factor tree for a number makes it easier to find its prime factors. These prime factors are used to help find the greatest common factor. Watch this tutorial and learn how to find the greatest common factor using a factor tree.

    • How Do You Solve a Word Problem by Multiplying Trinomials?How Do You Solve a Word Problem by Multiplying Trinomials?

    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?How Do You Subtract Polynomials?

    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 Multiply Trinomials?How Do You Multiply Trinomials?

    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?How Do You Solve a Word Problem by Multiplying Binomials?

    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?How Do You Multiply Binomials Using FOIL?

    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?How Do You Find the Area of a Rectangle Whose Sides are 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?How Do You Solve a Word Problem by Subtracting and Multiplying Polynomials?

    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 Solve a Word Problem by Subtracting Polynomials?How Do You Solve a Word Problem by Subtracting Polynomials?

    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 Formula for the Square of a Sum?What's the Formula for the Square of a Sum?

    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?What's the Formula for the Square of a Difference?

    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?What's the Formula for the Product of a Sum and a Difference?

    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?What's FOIL?

    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?What's the Grid Method of FOILing?

    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!

    • How Do You Use a Polynomial Equation to Solve a Word Problem?How Do You Use a Polynomial Equation to Solve a Word Problem?

    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 Factor a Polynomial Using Difference of Squares?How Do You Factor a Polynomial Using Difference of Squares?

    How Do You Factor a Polynomial Using Difference of Squares?

    Trying to factor a binomial with perfect square factors that are being subtracted? You have a difference of squares problem! Learn how to factor a binomial like this one by watching this tutorial.

    • How Do You Find a Missing Factor in a Monomial Equation?How Do You Find a Missing Factor in a Monomial Equation?

    How Do You Find a Missing Factor in a Monomial Equation?

    In this tutorial, a monomial has been factored into the product of two monomials, but only one of those factored terms has been given. Watch this tutorial and learn how to find that missing factor!

    • What's the Zero Product Property?What's the Zero Product Property?

    What's the Zero Product Property?

    The zero-product property let's you split the product of factors into separate equations. Then, you can solve each equation to get the solutions to your original equation! Learn all about this very useful property by watching this tutorial.

    • How Do You Find the Greatest Common Factor of Three Numbers?How Do You Find the Greatest Common Factor of Three Numbers?

    How Do You Find the Greatest Common Factor of Three Numbers?

    To find the greatest common factor (GCF) between numbers, take each number and write its prime factorization. Then, identify the factors common to each number and multiply those common factors together. Bam! The GCF! To see an example worked out, check out this tutorial!

    • How Do You Find the Greatest Common Factor of Monomials?How Do You Find the Greatest Common Factor of Monomials?

    How Do You Find the Greatest Common Factor of Monomials?

    To find the greatest common factor (GCF) between monomials, take each monomial and write it's prime factorization. Then, identify the factors common to each monomial and multiply those common factors together. Bam! The GCF! To see an example worked out, check out this tutorial!

    • How Do You Factor a Polynomial by Guessing and Checking?How Do You Factor a Polynomial by Guessing and Checking?

    How Do You Factor a Polynomial by Guessing and Checking?

    Factoring trinomials can by tricky, but this tutorial can help! Follow along as a trinomial is factored using the guess and check method. What, no possibilities work? The trinomial must be prime! Watch this tutorial and see what happens!

    • How Do You Factor a Polynomial Using the A-C Method?How Do You Factor a Polynomial Using the A-C Method?

    How Do You Factor a Polynomial Using the A-C Method?

    Factoring trinomials can by tricky, but this tutorial can help! See how to use the A-C method to factor a trinomial into the product of two binomials. Then, use the FOIL method to multiply the two binomial back together to check your answer.

    • How Do You Find a Missing Term in a Polynomial?How Do You Find a Missing Term in a Polynomial?

    How Do You Find a Missing Term in a Polynomial?

    This tutorial gives a more challenging example of factoring a trinomial. Test your skills by following along to find possible values that will allow the trinomial to be factored. You can do it!

    • How Do You Solve a Polynomial Equation With Two Variables?How Do You Solve a Polynomial Equation With Two Variables?

    How Do You 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?How Do You Factor a Polynomial Using Sum of Cubes?

    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?How Do You Factor a Polynomial Using Difference of Cubes?

    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 Find All the Possible Factors of a Trinomial?How Do You Find All the Possible Factors of a Trinomial?

    How Do You Find All the Possible Factors of a Trinomial?

    When factoring a trinomial into the product of two binomials, it's sometimes good to know all the possibilities. This tutorial uses the guess and check method to do just that! Take a look!

    • How Do You Factor the Greatest Common Factor out of a Polynomial?How Do You Factor the Greatest Common Factor out of a Polynomial?

    How Do You Factor the Greatest Common Factor out of a Polynomial?

    Factoring out the greatest common factor of a polynomial can be an important part of simplifying an expression. In this tutorial, you get step-by-step instructions on how to identify and factor out the greatest common factor.

    • How Do You Factor a Polynomial by Grouping?How Do You Factor a Polynomial by Grouping?

    How Do You Factor a 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!

    • How Do You Find the Greatest Common Factor If There are No Common Factors?How Do You Find the Greatest Common Factor If There are No Common Factors?

    How Do You Find the Greatest Common Factor If There are No Common Factors?

    To find the greatest common factor (GCF) between numbers, take each number and write it's prime factorization. Then, identify the factors common to each number and multiply those common factors together. What? There are NO factors in common? Then the GCF is 1. This tutorial gives you one such example. Check it out!

    • How Do You Use the Zero Product Property to Find Solutions to an Equation?How Do You Use the Zero Product Property to Find Solutions to an Equation?

    How Do You Use the Zero Product Property to Find Solutions to an Equation?

    Learn how to put the zero-product property into action by watching this tutorial! First, identify the factors in the expression. Next, use the zero-product property to split these factors into separate equations. Finally, solve each equation to get the solutions to your original equation!

    • How Do You Find the Factors of a Monomial?How Do You Find the Factors of a Monomial?

    How Do You Find the Factors of a Monomial?

    In this tutorial, follow along as a monomial is written in factored form. This is information may come in handy if you ever need to simplify an expression involving monomials. Better check it out!

    • How Do You Figure Out a Template for Factoring a Trinomial?How Do You Figure Out a Template for Factoring a Trinomial?

    How Do You Figure Out a Template for Factoring a Trinomial?

    Did you know that when you're factoring a trinomial, the signs in the trinomial determine the signs in the product of the binomials? This information is really useful when you're factoring trinomials! Watch this tutorial and learn the different sign cases.

    • How Do You Factor a Common Factor Out Of a Difference of Squares?How Do You Factor a Common Factor Out Of a Difference of Squares?

    How Do You Factor a Common Factor Out Of a Difference of Squares?

    Trying to factor a binomial? See if you can factor out a greatest common factor. This tutorial shows you how to factor a binomial by first factoring out the greatest common factor and then using the difference of squares. Check it out!

    • How Do You Find the Prime Factorization of a Number Using a Tree?How Do You Find the Prime Factorization of a Number Using a Tree?

    How Do You Find the Prime Factorization of a Number Using a Tree?

    To write the prime factorization for a number, it's often useful to use something called a factor tree. Follow along with this tutorial and see how to use a factor tree to find the prime factorization of a given number.

    • What's a Factor?What's a Factor?

    What's a Factor?

    Factors are a fundamental part of algebra, so it would be a great idea to know all about them. This tutorial can help! Take a look!

    • How Do You Know if You Have a Difference of Squares?How Do You Know if You Have a Difference of Squares?

    How Do You Know if You Have a Difference of Squares?

    Not sure if the binomial you've factoring is a difference of squares problem? This tutorial will show you what characteristics the binomial must have in order to be a difference of squares problem. Take a look!

    • How Do You Figure Out What Factoring Strategy to Use?How Do You Figure Out What Factoring Strategy to Use?

    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 Add Polynomials Vertically?How Do You Add Polynomials Vertically?

    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?How Do You Subtract 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?How Do You Find the Additive Inverse of a Polynomial?

    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!