source: mathisfun.com

1. POLYNOMIALS

2. Polynomial

An expression of finite length

Finite= has limit; definite; countable;
measurable

made up of terms that are only added,
subtracted or multiplied

comes form poly- (meaning "many") and
-nomial (in this case meaning "term") ... so it
says "many terms"

3. Composition of Polynomials

Constants

Variables

Variables with positive exponents

can have no variable at all

Can have one variable

4. What's special about
polynomials?

If you add polynomials you get a polynomial

If you multiply polynomials you get a polynomial

5. Standard form

Those variables with highest exponents go first

Descending order of exponents
4 2
x −2x + x

6. Example Graph of a Polynomial

Example: x 4−2x 2+ x

7. Examples: Polynomials?
x√ 4
3
4x+2x
2x
3x 3 +0.0001
5y− s
3
x
2

8. POLYNOMIALS?
2
1. √ x 2. 23x
[ x−1]
2 −1
3. 23x 4. y
√x 2
5. −1
( )
2
z

9. Monomials, Binomials, Trinomials

Basically, these are polynomials

Monomials are one-term polynomials
2 3
ex. 3x, 3x y

Binomials are... guess what...
two-term polynomials
4 4
ex. 10x-3 , 4x −5y

Trinomials?
Polynomials with three terms
2
ex. 2x +3y+1

11. DISCIPLES OF CONFUSIONISM?

12.  QUESTIONS
 CLARIFICATIONS?
 VIOLENT
REACTIONS?

13. SOURCE WEBSITE
http://www.mathsisfun.com/algebra/polynomials.html