Unit 4 - Polynomial Functions

Unit 4 - Polynomial Functions

1. Polynomial Classifications

   • Polynomial Leading Terms
     • x^3
       • Odd End Behavior
         • "Egyptian Hands"
       • Odd Example:
     • x^4
       • Even Example:
       • Even End Behavior
         • "Field Goal"

2. Dividing Polynomials

   • Factoring
     • Example:
     • 1. Factor numerator and/ or denominator
       • 2. Establish domain restrictions: x does not equal 3
         • 3. Simplify
   • Synthetic Division
     • Example:
     • 1. Plant the number you think is a root :( 1 )
       • 2.Write out all the coefficients in a row. (1,0,-3,-4,-1)
         • 3. Add the column and put the sum under the line, then multiply the added result by the root,
   • Long Division
     • Example:

3. Rational Root Theorem

   • A process that provides a complete list of possible rational roots of the polynomials.
     • Example:

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