Curated Video
Solving Quadratic Equations by Completing the Square
In this video, the teacher explains how to solve quadratic equations that cannot be factored normally. The concept of completing the square is introduced, and step-by-step instructions are provided on how to manipulate the equation to...
Professor Dave Explains
Proving the Pythagorean Theorem
One easy demonstration that proves the validity of the Pythagorean theorem.
Curated Video
Subtracting Complex Numbers: Distributive Property and Combining Like Terms
In this video, the teacher explains how to subtract complex numbers by using the distributive property and combining like terms. They provide examples and demonstrate the step-by-step process, highlighting common misunderstandings and...
Curated Video
Factoring a Difference of Two Squares
In this video, the teacher explains how to factor expressions that are missing a term by using the concept of a difference of two squares. They discuss the standard form of a quadratic expression and highlight the conditions for it to be...
Curated Video
Factoring Perfect Square Trinomials to Find Zeros of Quadratic Functions
In this video, we learn how to find the zeros of a quadratic function by factoring a perfect square trinomial. By expressing the quadratic function in a different form, we can make the zeros more visible. The middle signs in the...
FuseSchool
MATHS - Algebra - Polynomials
In algebra we have lots of different names for different things: expressions, equations, formulae and identities are all slightly different versions of similar things. Then within these, we have variables, constants, coefficients and...
Curated Video
Dividing Polynomials by Binomials using Long Division
In this video, the teacher explains how to divide polynomials by binomials using long division. They provide step-by-step examples and explain common misunderstandings. The teacher also emphasizes the importance of checking the solution...
Curated Video
Writing and Graphing Quadratic Equations from Tables
In this video, we learn how to write and graph a quadratic function by examining a table that represents a quadratic relationship. The video explains the standard form and vertex form of a quadratic function, and demonstrates how to...
Curated OER
How Do You Find All the Possible Factors of a Trinomial?
So you are looking for all the possible binomial factors of a trinomial expression? First find the factors of the coefficients. Then set up a table or template to do a guess and check. Write out, using the template, all the possible...
Curated OER
How Do You Know if You Have a Difference of Squares?
What are the characteristics of a polynomial that would make it factorable by the difference of squares rule? There are four must haves: two terms, coefficients are perfect squares, minus sign, degree of each term is even or zero. If it...
Curated OER
How Do You Factor a Polynomial Using Difference of Cubes?
What is the difference of a cube? When is it used? How does it work? Use it to factor a binomial involving subtraction. Rewrite the terms as a cubed expression. Then apply the difference of cubes formula. Don't forget to simplify. Still...
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
How Do You Find All the Possible Factors of a Trinomial?
So you are looking for all the possible binomial factors of a trinomial expression? First find the factors of the coefficients. Then set up a table or template to do a guess and check. Write out, using the template, all the possible...
Virtual Nerd
How Do You Multiply a Rational Expression by a Polynomial?
Multiply a rational expression and a polynomial. No problem, you can do it. Turn your polynomial into a fraction and multiply. You might need to factor your polynomials first to see if you can cancel out some terms, thereby reducing it...
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
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 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 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 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...