1. Higher Degree Polynomial

2.  Case 1: If n is odd AND the leading coefficient, is positive, the graph falls to the left and rises to the right  Case 2: If n is odd AND the leading coefficient, is negative, the graph rises to the left and falls to the right.  Case 3: If n is even AND the leading coefficient, is positive, the graph rises to the left and to the right.  Case 4: If n is even AND the leading coefficient, is negative, the graph falls to the left and to the right.

3. Even functions will have the same end behaviors. Odd functions will have opposite end behaviors.

4.  The degree of your polynomial will be the highest degree in the polynomial. When in standard form it will be the degree of the first term. Ex: f(x)=x 5 +2x 2 +4x The degree of this polynomial is 5. There will be five zeros.

5. The zeros of a polynomial function are the points where the graph crosses the x-axis. They can also be found by setting the function to zero and solving for your x term. You may also need to use synthetic division to solve the function.

6. Repeated zeros are also known as bouncers. They are marked on a graph when the graph hits the x-axis and immediately “bounces” back up without actually crossing the x-axis. When you solve the equation above you get 0=(x-1)(x-1), solve that and you get x=1, 1. Since there are repeating zeros, or solutions, the graph “bounces”.

7.  http://www.mathwarehouse.com/quadratic/i mages/solution-1-by-0-graph.gif http://www.mathwarehouse.com/quadratic/i mages/solution-1-by-0-graph.gif  http://image.tutorvista.com/Qimages/QD/18 392.gif http://image.tutorvista.com/Qimages/QD/18 392.gif  http://image.wistatutor.com/content/feed/tv cs/end_beh.jpg http://image.wistatutor.com/content/feed/tv cs/end_beh.jpg  http://www.wtamu.edu/academic/anns/mps/ math/mathlab/col_algebra/col_alg_tut35_pol yfun.htm http://www.wtamu.edu/academic/anns/mps/ math/mathlab/col_algebra/col_alg_tut35_pol yfun.htm