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...
Curated OER
How Do You Factor a Polynomial Using the A-C Method?
When first looking at this polynomial and thinking about factoring it into binomials, the task seems daunting because the numbers just look icky. But watch this video and see the instructor demonstrate how to factor by the A-C method....
Curated OER
How Do You Factor a Common Factor Out Of a Difference of Squares?
How do you know that a binomial can be factored using the difference of squares? First try finding the greatest common factor and pulling that out. Then take a look at what is left. Are the coefficients perfect squares? Then it could be...
Curated OER
How Do You Find the Degree of a Polynomial?
How do you determine the degree of a term? How do you determine the degree of a polynomial? Oh my! Observe the teacher as she shows you just how to figure out the degrees, first of terms, then of polynomials.
Curated OER
What's the Formula for the Square of a Sum?
The teacher uses the FOIL method to multiply out the square of a sum to prove the equation.
Curated OER
How Do You Solve a Word Problem by Multiplying Binomials?
Find the area of several rectangles that have been given monomial values. When the rectangles are put together, the sides are added together to form a binominal value. Now use the formula for area to multiply the two binomials. Use the...
Curated OER
How Do You Multiply Two Rational Expressions?
Before doing any kind of multiplication, first see if the terms can be reduced. Otherwise the values after multiplying can be very large and would need to be reduced anyway to simplest terms. So check out how to factor the given rational...
Curated OER
What's a Divisor in a Rational Expression?
Divide, dividend, divisor? Will the real divisor please stand up? How do you know which part of a division problem is the divisor when you have a rational expression of algebraic fractions? Just remember it's the second number or the one...
Curated OER
What's a Dividend in a Rational Expression?
In a rational expression the dividend is the number being divided. It's the expression that comes before the division sign.
Curated OER
How Do You Convert a Mixed Expression To a Rational Expression?
Given a monomial and a polynomial, rewrite the expression as a rational number. This is not as confusing as you might think. First is to make the monomial a rational number by giving it a denominator. Once that is done, numbers can be...
Curated OER
How Do You Solve a Quadratic Equation by Completing the Square?
Completing the square is an effective way to solve a quadratic equation. Introduce your class to this technique and use this video to complement your lesson. This resource takes viewers through the process of completing the square,...
Curated OER
How Do You Figure Out a Template for Factoring a Trinomial?
Given a trinomial to factor, figure out the signs that will be in the resulting binomials. There are three cases for the combination of signs. Check out this video, it will prove to be very helpful to know how to determine the signs...
Curated OER
How Do You Find a Missing Term in a Polynomial?
The instructor does a very good job of explaining all the things you need to do to find the integer values of this given trinomial. She demonstrates how to set up a template to be able to check the signs of the terms. Next step, what are...
Curated OER
What's the Formula for the Product of a Sum and a Difference?
There is a shortcut formula for finding the product of a sum and a difference. Use the formula rather than FOILing out the monomials. Fewer steps mean fewer headaches in math.
Curated OER
How Do You Find the Area of a Rectangle Whose Sides are Binomials?
The teacher uses a diagram to set up her initial equation to reflect the changes being made to a garden plot. She has a good explanation of how she got her equation. Then she works through the steps to solve the equation.
Curated OER
How Do You Multiply a Monomial by a Polynomial?
The instructor gives an example of how to multiply a monomial times a trinomial. She explains verbally what she is doing but does not write each multiplication step on the board.
Curated OER
How Do You Find the Volume of a Box Whose Sides are Monomials?
Length times width times height. Yes, the formula for the volume of a rectangular shape. But the values are monomials. Use the knowledge you have to multiply the monomials and then write it in simplest form.
Curated OER
How Do You Use a Shortcut to Factor a Perfect Square Trinomial?
It's not really a shortcut but an equivalent equation. That's how these two perfect square equations work. So when you see an expression written out and it fits the perfect square of a trinomial criteria it can be rewritten in the...