Khan Academy
Interesting Polynomial Coefficient Problem
This is an interesting problem that approaches higher-degree polynomials from a different perspective. Given a third-degree polynomial, two known zeros, and a y-intercept, find the value of the polynomialÕs coefficients. This problem...
Curated OER
Polynomial Equations in Factored Form
Sal takes polynomial equations in the other direction with this video where he shows how to factor them instead of adding or multiplying them. He has two goals in this activity: first, to show how to factor polynomial equations, and then...
Khan Academy
More Examples of Addition and Subtraction of Polynomials, Algebra II
Though they " sound like a really fancy word," polynomials prove to be no match for Sal's mathematical skills. After defining the term and providing a few examples, Sal works through a few equations that add or subtract polynomials,...
Khan Academy
Introduction to Special Products of Binomials, Algebra I
First, clarifying that people need to "resist every temptation on earth" when squaring a binomial, Sal walks viewers through a few binomial equations using binomials and applies the skills from the previous videos about working with...
Khan Academy
Multiplying Binomials and Polynomials, Algebra Basics
Everyone can be shortcut-savvy with this video, which features Sal multiplying "a ton of polynomials" in clear, easily understandable terms. Those with difficulty applying old concepts to new equations will rest assured with the trusted...
Khan Academy
Example 1: Simplifying Polynomials, Algebra I
At times, polynomial expressions can be very long. Watch this video to see how Sal simplifies them by combining like terms. He explains his process and uses various colors to demonstrate why like terms are alike and why they can be...
Khan Academy
Example 3: Multiplying a Monomial by a Polynomial, Algebra I
Can you multiply a monomial by a polynomial? Yes, you can, if you use the distributive property. Sal describes how to distribute the monomial term over the entire polynomial expression. He does an excellent job explaining this concept.
Curated OER
How Do You Solve a Polynomial Equation With Two Variables?
Sometimes you'll need to solve an equation with multiple variables on each side. This step-by-step tutorial will show you how to set your equation to 0, factor out the GCF, simplify, write your answers as a set, then plug and chug to...
Curated OER
How Do You Solve a Word Problem by Subtracting Polynomials?
It's not a complicated word problem, but the picture frame just gives the problem a little context. So you are trying to find the difference, which means subtraction. The instructor reviews how to distribute the negative sign to the...
Curated OER
How Do You Find the Greatest Common Factor of Monomials?
Use prime factorization to find the greatest common factor of four given values. What are the factors that all four given values have in common? Identify them, and then multiply together to get the greatest common factor. Just like that....
Curated OER
What's the Grid Method of FOILing?
Have you ever heard of the FOIL method? Watch and learn how the FOIL method can be used to help you multiply binomials. It all starts with a tic-tac-toe box and two polynomials then ends with a correct answer.
Curated OER
Degree in Polynomials
This clip is great! Your budding algebra experts will have no trouble understanding what the degree in a polynomial means. The degree is compared to a mountain range, the highest peak in the range usually names the entire set of...
Curated OER
How Do You Subtract Polynomials Vertically?
Subtract polynomials? Huh? First off find the additive inverse of the number you are subtracting. Next rewrite the polynomials one on top of the other. Make sure to line up the like terms and then write in placeholders. Now add the terms...
Curated OER
How Do You Add Polynomials Vertically?
The instructor demonstrates how to line up two polynomials vertically to add them together. She emphasizes lining up the terms with the same powers. She also identifies some places where there is no term and shows how to write a...
Curated OER
How Do You Solve a Word Problem by Subtracting Polynomials?
It's not a complicated word problem, but the picture frame just gives the problem a little context. So you are trying to find the difference, which means subtraction. The instructor reviews how to distribute the negative sign to the...
Curated OER
How Do You Solve a Word Problem by Subtracting and Multiplying Polynomials?
Apply the distributive property to multiply a monomial times a polynomial to get the area of a rectangle. Then use this information to solve a word problem.
Curated OER
How Do You Multiply Binomials Using FOIL?
FOIL it! What? You want to multiply two binomials then use the FOIL method: First, Outside, Inside, Last. When you have done that, your final steps is to combine the like terms.
Curated OER
What is a Rational Function?
A rational function can be written as a ratio of two polynomials. There are a couple of rules concerning the denominator so watch this video and find out what they are.
Curated OER
How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?
The teacher explains the many steps in simplifying a rational expression using opposite binomial factors. At first it seems complicated but if you follow along and watch out for your negative numbers you can learn how to simplify this...
Curated OER
How Do You Do Long Division With Polynomials?
Learn how a trinomial is divided by a binomial in this long division problem. The instructor does a good job explaining all the steps necessary to solve this problem.
Curated OER
How Do You Add Polynomials?
So you want to learn how to add polynomials? Here are the steps: Rewrite by removing the parentheses, identify the like terms, group like terms together, combine the like terms, and finally rewrite the simplified expression.
Curated OER
What's the Formula for the Square of a Difference?
The Difference Between Two Squares is an algebraic expression where two terms are perfect squares and one is negative. In this clip the Algebra teacher uses the FOIL method to factor a difference between two squares and prove the equation.
Curated OER
How Do You Multiply Binomials Using the Distributive Property?
Check this out. Multiply binomials using the distributive property. It's really not that difficult to do. Watch this video as the instructor illustrates the steps to distribute, and then combines the like terms to simplify.
Curated OER
How Do You Subtract Polynomials Vertically?
Subtract polynomials? Huh? First off, find the additive inverse of the number you are subtracting. Next, rewrite the polynomials one on top of the other. Make sure to line up the like terms and then write in placeholders. Now, add the...