1. x + 5 4x +20x R + 3 3x - 16 3x - +15 -31 - - -

2. Tues 11/24 Lesson 5 – 4 Learning Objective: To divide polynomials by synthetic division Hw: Pg.

3. Algebra II

4.  To divide polynomials by synthetic division  To apply the Remainder Theorem  To understand the Factor Theorem

5. x = 4 4

6. x = -2 -2

7. x = 7 7

8. 3x + 1 - - - - - - + 0 + 2 6x + 2 - - - 2

9. Need to divide by 3

11. 3

12. -4

13.  If you divide a polynomial P(x) by x – a, and the remainder is ZERO, then x – a is a factor of P(x).

14. -5  R 0, so x + 5 is a factor of P(x)!  Factor more!

16. Factor more!

18. 8. What are the actual dimensions if the length is 10 inches? Length = x + 1 10 = x + 1 x = 9 Width = (x + 3) = (9 + 3) = 12 in. Height = (x + 2) = (9 + 2) = 11 in. 10” x 12” x 11”