Unit 4 - Polynomial Functions

Polynomial Classifications
1. Polynomial Leading Terms
  1. x^3
    1. Odd End Behavior
      1. "Egyptian Hands"
    2. Odd Example:
  2. x^4
    1. Even Example:
    2. Even End Behavior
      1. "Field Goal"
Dividing Polynomials
1. Factoring
  1. Example:
  2. 1. Factor numerator and/ or denominator
    1. 2. Establish domain restrictions: x does not equal 3
      1. 3. Simplify
2. Synthetic Division
  1. Example:
  2. 1. Plant the number you think is a root :( 1 )
    1. 2.Write out all the coefficients in a row. (1,0,-3,-4,-1)
      1. 3. Add the column and put the sum under the line, then multiply the added result by the root,
3. Long Division
  1. Example:
Rational Root Theorem
1. A process that provides a complete list of possible rational roots of the polynomials.
  1. Example:

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