1. Used to factor polynomials when no other method works

2.  If f(x) is a polynomial with INTEGER coefficients, then the candidates for every rational zero of f has the following form:  Take each factor of p and divide it by each factor of q until all +/- fractional and integer factors can be found.  You will not just divide and get one answer, there will be multiple candidates for zeros

3.  Find all the zeros for:  Take ALL factors of p over ALL factors of q

4.  Once you have found some zeros for a function – (use )  Plug in a value for x using the store feature  Example try x=1, use 1, STO, X (I think of this as saying I want 1 stored as x.)  Then you can type in the whole function above and press enter/= and you will get either the remainder or f(x) value.  We are looking for zeros, once you try one number you can continue to back your way through the previous entries using 2 nd, Enter so you do not have to keep typing in the whole polynomial.

5.  Use the rational root theorem to factor the following completely and find all zeros.  Once you get one zero you can use synthetic division to factor and find the other zeros  Ex:  2 nd Ex:  Practice pg. 91 #7

6.  Based on the degree of any polynomial, the maximum number of turning points on the graph will be one less than the degree: Ex: How many turning points does each graph have below?

7.  Pg. 91 12-13  Pg. 92 2-3, 12-13 OPTIONAL BONUS: pg. 92 #10 (+4)