1. 2.5 Apply the Remainder and Factor Theorem Long Division and Synthetic Division Pg. 85

2. Remainder Theorem  If a polynomial P is divided by x-k, then the remainder is P(k)  (x – k) is a factor of a polynomial P iff P(k) = 0. What is the remainder when P(x) = x 3 + 2 is divided by x + 1 Is x + 1 a factor of P(x) = x 3 + 2 ? Factor Theorem

3. Dividing Polynomials  Dividing Polynomials to get the factors can be done in one of two ways Long Division or Synthetic Division Lets start with Long Division

5. Long Division

8. Synthetic Division

9. Synthetic Division

10. Synthetic Division Can’t be done!!!

11. Synthetic Division

12. Homework Pg.87,1 – 12 Pg. 88,1 – 8