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
How Do You Multiply Monomials?
Use the associative property of multiplication to regroup the like terms in this polynomial multiplication expression. Then multiply the terms and make sure it is in simplest form.
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
What's a Mixed Expression?
The instructor defines the meaning of a mixed expression and writes an example. She identifies each part, the monomial, and the algebraic expression.
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...
Virtual Nerd
How Do You Divide Two Polynomials by Factoring and Canceling?
The rational expression in this example is of a trinomial divided by a trinomial. Learn how to simplify this rational expression. The instructor demonstrates how to factor each trinomial and cancel the like terms to get it in simplest form.
Curated OER
What's a Prime Polynomial?
The instructor defines a prime polynomial as much the same as a prime number: they only have two factors, 1 and itself. She further demonstrates what a composite polynomial is to give an example of a polynomial that is not prime.
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.
Krista King Math
Factoring the Sum of Cubes
Examine the patterns of polynomial factoring with your classes. The video describes the specific process of factoring the sum of cubes. The instructor demonstrates two examples with both variables and coefficients.
Krista King Math
Multiplying Multivariable Polynomials
Combine operations when working with polynomials. The video examples incorporate both multiplication and subtraction of polynomials. The polynomials also have multiple variables to add to the complexity.
Krista King Math
Dividing Polynomials
Show learners how to apply their knowledge of long division to polynomials. The video instructor explains how to divide polynomials using the same procedure of long division learned in previous grades. The examples include dividing by a...
Northeast Arkansas Education Cooperative
Adding and Subtracting Polynomials
Algebra tiles help pupils understand many different algebra topics. The video explains the process of adding and subtracting polynomials using the tool. Seeing the terms as individual tiles helps learners understand the idea of a...
Curated OER
What's FOIL?
FOIL= first, outside, inside, last. Use this method to multiply two binomials. The teacher demonstrates this method using variables. Then she demonstrates with numbers and variables and writes out each term being multiplied. Finally,...
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 Use the Formula for the Product of a Sum and a Difference?
Multiply two binomials that have the same terms but different signs. One way is to FOIL it and then combine like terms. Another, shorter way to do it is to use a formula. There's a formula for the product of a sum and a difference. Using...
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...
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 Factor a Polynomial Using Difference of Squares?
Do you have a perfect square binomial? Don't know, not sure, what is a perfect square binomial? The instructor takes you through many steps to see if this given binomial is a perfect square. It is, and she shows you how to factor it.
Curated OER
How Do You Divide Monomials Using the Greatest Common Factor?
Factor out the greatest common factor to simplify a rational expression. When the greatest common factor is divided out of the numerator and the denominator what is left is the rational expression in simplest form. Watch as the teacher...
Curated OER
What's a Complex Expression with Rational Expressions?
The teacher defines a complex fraction. She writes an example on the whiteboard. She says that any fraction that additionally has another fraction in either the numerator, or the denominator, or both, is a complex fraction.
Curated OER
How Do You Factor the Greatest Common Factor out of a Polynomial?
There are four terms in this polynomial. Find the greatest common factor. Remember to prime factor the number values to help find the GFC. Then rewrite the polynomial in simplest form. Not sure about this skill, then watch the instructor...