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."
Khan Academy
Khan Academy: Algebra: Interesting Polynomial Coefficent Problem
Students learn about third degree polynomials. The video examines how to find the coefficients of a third degree polynomial given two roots and the y-intercept.
Khan Academy
Khan Academy: Factoring Quadratics: Example 1: Factoring by Grouping
In this video students learn about factoring trinomials with a non-1 leading coefficient by grouping.
Khan Academy
Khan Academy: Dividing Polynomials: Algebra Ii: Simplifying Polynomials
Video demonstrates solutions to factoring polynomial expressions, adding and dividing rational expressions, and applying exponent rules.
Khan Academy
Khan Academy: Polynomials: Multiplying Polynomials
This video demonstrates how to use the distributive property to multiply a binomial and a trinomial.
Virtual Nerd
Virtual Nerd: What Is a Polynomial?
This tutorial provides the definition of a polynomial and illustrates some of the common names for certain polynomials. [7:42]
Virtual Nerd
Virtual Nerd: What's a Term?
Take a look at this tutorial to learn exactly what a 'term' in a polynomial is all about. [5:11]
Virtual Nerd
Virtual Nerd: What's a Prime Polynomial?
In a prime polynomial, the only factors are 1 and itself. Learn all about prime polynomials by viewing this tutorial. [2:23]