Curated OER
Synthetic Division to Divide a Polynomial
With a whiteboard and a dry erase pen anyone can create a math tutorial video. This clip demonstrates how to divide a polynomial. The full process is explained with the help of an example problem. A great clip for those in need of a...
Curated OER
Algebra: Factoring Polynomials
In need of a tutor to work through a series of algebra problems involving factoring polynomials? View this video and watch how this tutor describes what he does as he factors several different polynomials. Be aware this clip will not...
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
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 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...
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...
Curated OER
Why is it Called a Rational Expression?
If your algebraic expression is a ratio of two polynomials then you have a rational expression. Find out what that might look like.
Curated OER
How Do You Find the Area of a Rectangle Whose Sides are a Monomial and a Polynomial?
Yes, it's a real-world word problem, but it's as easy as multiplying a monomial and a polynomial. Then all you have to do is to make sure you write it in simplest form.
Curated OER
How Do You Subtract Polynomials?
How the heck do you subtract polynomials? Well, watch the instructor and listen closely as she explains just what to do to subtract polynomials.
Curated OER
How Do You Solve a Word Problem by Multiplying Trinomials?
Use the distributive property to multiply these two trinomials. Then combine all the like terms and make sure to write them in descending order by degrees.
Curated OER
What is the Standard Form of a Quadratic?
The teacher illustrates how to write a quadratic polynomial in standard form. There are a few rules to follow: all like terms must be combined, it must be written in order left to right as the degrees drop, and the coefficient of the...
Curated OER
How Do You Divide a Rational Expression by a Polynomial?
Simplifying this polynomial rational division expression is not as complicated as it looks. Don't get me wrong, there are a lot of steps involved, but you can follow the instructor and learn the steps. I'm sure you already know how to do...
Curated OER
What's a Rational Expression?
A rational expression has a polynomial in the numerator as well as a polynomial in the denominator. The instructor writes out an example for you to see.
Curated OER
What's the Standard Form of a Polynomial?
The teacher explains how to write a polynomial in standard form. She first explains standard form and then shows several examples. A couple of expressions were not in standard form and I would have liked to see her rewrite these...
Curated OER
What's a Partial Dividend?
The problem is set up like a long division problem with a three term polynomial on the inside and a two term polynomial on the outside. The instructor demonstrates how a partial dividend is obtained through long division.
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.
Sophia Learning
Sophia: Using the Difference of Two Squares to Solve Equations
This lesson demonstrates how to use the difference of two squares and the zero product property to solve for binomial equations.
Khan Academy
Khan Academy: Algebra: Simply a Polynomial
Explains what like terms are and demonstrates how to simplify a polynomial. [3:37]
Khan Academy
Khan Academy: Algebra: Evaluating a Polynomial at a Given Value
Demonstrates how to evaluate a polynomial for a given variable value. [1:09]
Khan Academy
Khan Academy: Algebra: Polynomials 1
Video demonstrates how to write a polynomial that represents the difference between the area of a rectangle of given length and width and the area of a circle with a given diameter. [4:37]
Khan Academy
Khan Academy: Algebra: Polynomials 2
Demonstrates how to write a polynomial expression for a given situation. [1:24]
Khan Academy
Khan Academy: Algebra: Terms Coefficients and Exponents in a Polynomial
Explains polynomial vocabulary: term, coefficient, and exponent. Identifies terms, coefficients, and exponents of a given polynomial. [2:36]
Other
Polynomial Word Problems
Video lesson on the topic of polynomial word problems. Using polynomials to represent real-life situations is the main focus of this lesson.
Sophia Learning
Sophia: Expanding a Polynomial: Lesson 10
This lesson gives details on how to construct a given factor, create a polynomial, and how to find the zero of the resulting polynomial. It is 10 of 10 in the series titled "Expanding a Polynomial."