Polynomials Galore!!!!
If you are a teacher looking for resoureces check out my math teaching website. There are some very good worksheets. If you are looking for more math videos check out my videos on youtube.
If you are a student and looking to get all of your math help in one place this math learning site is for you.
Though I think this lens is valuable and can really help you understand polynomials sometimes it isn't enough. One of the most effective ways to learn math is one on one tutoring. Tutor.com offers 25 minutes for FREE and is something you should check out.
Table of Contents
Mr. T. on the Web
- Square Roots
- A lens showing how to simplify square roots.
- Solving Inequalities
- A lens showing how to graph and solve algebraic inequalities.
- Linear Inequalities
- Learn how to graph linear inequalities.
- Quadratic Equations
- A page showing how to solve quadratic equations.
Adding and Subtracting Polynomials
1) Add Like Terms - Like terms are monomials that have the exact same variable(s) with the exact same exponent(s). Like terms are combined by adding the coefficients.
2) Subtraction = Change All the Signs - If you are subtracting a polynomial then you change the subtraction to addition and then change all the signs of the polynomial that was being subtracted. For example:
(2x2 + 3x - 7) - (4x2 - 2x + 3)
Is rewritten as:
2x2 + 3x - 7 - 4x2 + 2x - 3
Notice how the parenthesis are removed after we deal with the subtraction.
The following video shows three examples how to add and subtract polynomials.
Don't Forget!!!
When you are subtracting polynomials you change ALL the signs of the terms in the paranthesis after the subtraction sign.
Adding/Subtracting Polynomials Example Set 1
Multiplying Polynomials
Double Distributive Property
The double distributive property describes the process of multiplying two binomials together. It works like this:
1) Multiply the first term of the first binomial times the two terms of second binomial.
2) Multiply the second term of the first binomial times the two terms in the second binomial.
3) Add like terms.
The good thing about learning it this way is that it is easy to extend the method to more complex problems. For example if you are multiplying two trinomials:
1) Multiply the first term of the first trinomial times all three terms in the second trinomial.
2) Multiply the second term of the first trinomial times all three terms in the second trinomial.
3) Multiply the third term of the first trinomial times all three terms in the second trinomial.
4) Add like terms.
The following videos show examples of multiplying various polynomials together.
Multiplying Binomials Example 1
Multiplying Binomials Example 2
Multiplying Binomials Example Set 3
Multiplying Binomials Example Set 4
Multiplying a Binomial times a Trinomial
Factoring Quadratic Expressions
The only special case I teach is the difference of two squares. There are a couple of examples of how that works as well.
Factoring Quadratics Example Set 1
Factoring Quadratic Equations Example Set 2
Factoring Quadratic Expressions Example Set 3
Factoring Quadratic Expressions Example Set 4
Factoring Quadratic Expressions Example Set 5
Let me know what you think of this lens...
I would love to hear how you would teach these topics or what you got from this lens.
Smolskis wrote
Those are good videos but can you add one with multiplying two trinomials?
Posted May 03, 2009
Elizabeth Austin wrote
I just turned 20 and I'm preparing for college after being out of school since I was 16. Thank you so much for this site. I was so surpised at what all I had forgotten and all that I never knew.
Posted February 26, 2009
=lalala= wrote
HEY. i'm doing a research paper on polynomials. :D I still have a few questions that need answering:
Why are they called polynomials?
How long have polynomials(method) been used?
How were they developed?
Why are they important?
Posted February 19, 2009
Linda M. Gregory wrote
I am a 47 yr. old woman working on 3 degrees. My Psych. Soc. and Alcohol and Drug studies. The math I haven't really used much, like the polynomials, algebra etc...I was really feeling a bit overwhelmed with the tutorials at school and decided to work on these on my own. (yeah Right!) So I am so thankful that this sight has helped me plenty. I am almost confidant enough to go on and conquer University after this. It's sad to understand that a great many people probably do not go on to Universtity because of the math. Thank-you so much for making it a lot easier to understand. Thank-you a million times..Happy, Happy
Posted August 24, 2008
ElizabethJeanAllen wrote...
I don't teach students how to work with polymomials. We balance equations and calculate half-lifes. I wish I was an angel so I could bless you. We teachers need all the help we can get. * * * * *
Liz
Posted April 07, 2008
by MrT68
My name is Trent Tormoehlen and I am a math teacher at Sycamore School in Indianapolis Indiana. I will also be helping coach the schools Math Co...
(more)Explore related pages
X Factor Video Showcase- The X Factor Network in the UK and on is a British television music talent show...
