* POLYNOMIALS
** OBJECTIVES
- Classify  polynomials and  write polynomials  in standard
  form
  
** VOCALBULARY

|---------------------+-------------------------------|
| monomial            | quadratic                     |
| binomial            | cubic                         |
| trinomial           | degree of a polynomial        |
| polynomial          | degree of a monomial          |
| leading coeffecient | standard form of a polynomial |
|---------------------+-------------------------------|

** CONTENT
*** MONOMIAL
A monomial is a number,  variable or product of numbers and
variables with  whole-number exponents and there  should be
no variables in the denominator

|--------------------+--------------------------|
| Monomials          | Not Monomials            |
| 5x   -7xy   0.5x^4 | 0.3x^-2    4x   -y 2/x^3 |
|--------------------+--------------------------|

The degree of a monomial is the SUM of the exponents of the
variables. A constant has a degree of 0.

To  explain this  in the  simpliest  form i  can think  of,
Monomials are just equations that ARENT negative.

*** POLYNOMIAL
A  polynomial  is  a  monomial,  a  sum  or  difference  of
monomials

There  are different  kinds of  polynomials based  on their
degree and the number of terms

Terms: stuff that's seperated by a sign (+, -)

**** DEGREE OF A POLYNOMIAL AND HOW TO FIND IT
The degree of  a polynomial is the degree of  the term with
the greatest degree

in order to find the degree  of a polynomial, just find the
greatest between the two terms, for example:

                (11x^7 + 3x^3)
                (11x^[7] + 3x^[3])
                      |________|
                          | 
                      compare these
                       children

compare  the two  exponents, find  the biggest  between and
that will  be your degree,  but if you have  something like
this:

             (x^3 x^4 + x^2 x^3 + 2)

add the exponents and compare:

             (x^3 x^4 + x^2 x^3 + 2)
                |___|     |___|   |
                  |         |     |
                  7         5     0

the biggest sum is your degree, in this case, its 7

**** STANDARD FORM OF A POLYNOMIAL
This is where you arrange the polynomials by degree; if you
want a complicated explanation, here is it;

"The terms  of a  polynomial may be  written in  any order,
However  polynomials that  contain  only  one variable  are
usually written in STANDARD FORM

The  standard  form  of  a  polynomial  that  contains  one
variable  is  written with  the  terms  in order  from  the
greatest  degree  to  the  least degree,  When  written  in
standard form, the coefficient of  the FIRST TERM is called
the LEADING COEFFICIENT"

    - that slide that i copied the source from but whatever
      i credit  it HDS,  also look im  trying to  follow my
      lessons  in   english  but  fail  to   understand  my
      existence in the process

 An example  of a  polynomial written  in standard  form is
 this:

                (-7x^5 + 4x^2 + 6x + 9)
                 |___|   |__|   |    |
                   |      |     |    | 
                   5      2     1    0
                   
   '' Gomen for the horrible diagram
   x
**** MONOMIAL
The monomial  has been explained previously  but to atleast
remind you, it has 1 term only
**** BINOMIAL
A binomial has 2 terms

**** TRINOMIAL
A trinomial has 3 terms
**** MULTINOMIAL
A multinomial has more than 3 terms