1. Bellwork 1)Use the quadratic formula to solve 2)Use synthetic substitution to evaluate for x = 2 3) A company’s income is modeled by the function. What is the value of P when x = 200?

2. Lesson 5.5 Apply the remainder and factor theorems

3. Objective Use theorems to factor polynomials

4. Standard 3.0 – Students are adept at operations on polynomials, including long division

5. Academic Vocabulary Polynomial long division Synthetic division

6. Use Long Division 1) 147 divided by 9 2) 1214 divided by 11

7. What are the steps for long division? 1) Divide the first term 2)Multiply 3)Subtract 4)Bring down next term 5)Repeat steps 1 - 4

8. Polynomial Long Division

9. Now apply steps to Polynomials

10. Practice

12. Synthetic Division

13. Example Remember to use k which is opposite of what you see for the constant of the binomial!

15. Practice If the remainder is 0 than x + 2 is a factor and the resulting quotient is also a factor which needs to be rewritten as a polynomial x2x2 x1x1 x 0 Constant Remainder

16. Now factor remaining polynomial

17. Practice

18. The Real World

19. Homework Part 1 p.366 #1, 2, 3, 5, 11, 19, 25, 35, 41 Part 2 p.366 #7, 13, 17, 23, 27