1. Warm Up no 0, 3 x = -3

2. Homework Questions

3. Section 2.2 Synthetic Division; The Remainder and Factor Theorems Objective: To use synthetic division and to apply the remainder and factor theorems.

4. Vocabulary When 23 is divided by 4, the quotient is 5 and the remainder is 3. 4 is not a factor of 23, because if when 23 is divided by 4 the remainder is not zero.

5. The Remainder Theorem When a polynomial P(x) is divided by x – a, the remainder is P(a) Remainder =P(a)

6. 2-2 Synthetic Division; The Remainder and Factor THMs

7. Example 1 Divide P(x) = x 3 + 5x 2 + 5x – 2, by x + 2

8. The Factor Theorem if and only if

9. Example 4 If P(x) = 2x 4 + 5x 3 – 8x 2 – 17x – 6, determine whether each of the following is a factor of P(x): A) x – 1 B) x – 2

10. Example 3 If x = -1 is a root, find all others roots for p(x)= x 3 + 3x 2 + x – 1

11. Classwork Class Exercises Page 60 #1-5

12. Homework Section 2.2 Page 61 #1-25 odds