1. Solving Polynomials
   1. by
      1. Factorising
      2. finding the roots
      3. using formula
         1. Topic
         2. Topic
            1. degree 2 polynomials
         3. graphs
            1. Topic
            2. Topic
2. Are
   1. Expression of Finite length
   2. Constructed by
      1. Variables
         1. represented as Letters
         2. have an non negative Exponent
            1. usually natural numbers
      2. Constants
   3. only using
      1. Four operations
         1. Addition (+)
         2. Subtraction (-)
         3. Multiplication (*)
         4. Division (/)
      2. Non-Negative Integer exponents
         1. Integers
            1. are
            2. Whole Numbers
            3. 1,2,3,-4,-5,6,67,-3563,1245,66666 Are all Integers
            4. 5.2, 7.8 , 9.76 are not intergers
         2. Exponents
            1. is a
            2. Mathematical Operation, written as (a^n)
   4. named in Greek
      1. Greek polloi, "many" + Greek nomus, "part, portion"
3. Used in
   1. adjectives
      1. Subtopic or quantities that can be expressed as a polynomial of some parameter
      2. Polynomial Time
         1. computational complexity theory.
   2. Math
      1. Used to form Polynomial Equations
         1. To Encode Wide Range of problems
            1. Complicated Problems in Science
            2. Word Problems
      2. To Construct Polynomial Rings
         1. in
            1. abstract algebra
            2. algebraic geometry
   3. Science
      1. To Define Polynomial Functions
         1. Topic
      2. Found in
         1. Basic Chemistry
         2. Basic Physics
         3. economics
         4. social science
   4. calculus
   5. numerical analysis
   6. to approximate other functions, such as sine, cosine, and exponential.
4. can be Written
   1. as the sum of one or more non-zero terms
      1. Terms are Finite
      2. consist of a constant which may be multiplied by a finite number of variables
         1. Each variable may have an exponent that is a non-negative integer
      3. exponent on a variable in a term is called the degree of that variable
         1. degree of a polynomial is the largest degree of any one term
         2. x has a degree of 1
         3. the polynomial of 2x^2 + x + 5 has a degree of 2
   2. Examples
      1. Topic
      2. 2x^5 – 5x^3 – 10x + 9
         1. Is a Fifth Degree Polynomial
         2. has 4 terms
      3. 7x^4 + 6x^2 + x
         1. is a fourth Degree polynomial
         2. has 3 terms
      4. Topic
5. types of Polynomials
   1. Topic
      1. ax^2 + bx + c
         1. degree 2 Polynomial
         2. Also Called
            1. Quadratic
   2. ax^3+bx^2+cx+d
      1. Degree 3 polynomials
      2. Also Called
         1. Cubic
   3. ax^4+bx^3+cx^2+dx+E
      1. Degree 4 Polynomial
      2. also called
         1. quartic
   4. most of the coefficient in Polynomials are usually integers
6. Elementary properties of polynomials
   1. All polynomials have an expanded form
      1. distributive law has been used to remove all brackets
      2. (x-3)(x+1)
         1. Expanded form is
            1. x^2-2x-3
   2. A sum of polynomials is a polynomial.
   3. A product of polynomials is a polynomial
   4. the derivative of a polynomial function is a polynomial function.
   5. Any primitive or antiderivative of a polynomial function is a polynomial function.
      1. Something to do with calculas that I cannot Understand