1. Extended Do Now 𝒙 𝟑 − 𝒙 𝟐 −𝟗𝒙+𝟗 − 𝒙 𝟒 +𝟐𝟓 𝒙 𝟐 𝟐 𝒙 𝟐 𝒙−𝟏 𝟑 (𝒙+𝟐)
For the following:
Using the LCT to determine the graph’s end behavior.
Find x-intercepts. State whether the graph crosses or bounces at the x-axis.
Find the y-intercept.
If necessary, find a few additional points and graph the function. Use turning points to check your drawing.
𝒙 𝟑 − 𝒙 𝟐 −𝟗𝒙+𝟗
− 𝒙 𝟒 +𝟐𝟓 𝒙 𝟐
𝟐 𝒙 𝟐 𝒙−𝟏 𝟑 (𝒙+𝟐)
− 𝒙 𝟑 𝒙+𝟒 𝟐 (𝒙−𝟏)

2. Yesterday’s Quiz Results

3. Dividing Polynomials
7/11/13

4. Division
Describe, in the most detail possible, what division is. Some important vocab to use is:
Dividend
Divisor
Quotient
Remainder

5. Divide – NO CALCULATOR 𝟗𝟔 ÷𝟔= 𝟗𝟓𝟕 𝟑𝟑 = 𝟔𝟓𝟒 ÷𝟑𝟐= 4) 𝟐,𝟖𝟑𝟑 ÷𝟏𝟐=
5) 𝟒𝟔,𝟎𝟎𝟑 ÷𝟐𝟑𝟏
6) 𝟓𝟎𝟗,𝟔𝟕𝟏 𝟏𝟗

6. Dividing Polynomials
Divide 𝒙 𝟐 +𝟏𝟎𝒙+𝟐𝟏 by 𝒙+𝟑

7. Dividing Polynomials
Divide 𝒙 𝟐 +𝟏𝟒𝒙+𝟒𝟓 by 𝒙+𝟗

8. Dividing Polynomials
Divide 𝟒−𝟓𝐱− 𝐱 𝟐 +𝟔 𝒙 𝟑 by 𝟑𝒙−𝟐

9. Dividing Polynomials
Divide 𝟕−𝟏𝟏𝐱− 𝟑𝐱 𝟐 +𝟐 𝒙 𝟑 by 𝒙−𝟑

10. Dividing Polynomials
Divide (𝒙 𝟒 −𝟖𝒙+𝟐𝟐)÷(𝒙−𝟒)

11. Practice
P. 350 #1-16

12. The Remainder Theorem
If the polynomial 𝒇(𝒙) is divided by 𝒙−𝒄, then the remainder is 𝒇(𝒄).
The following example shows that we can use the Remainder Theorem to evaluate a polynomial function at 2. Rather then substituting 2 for x, we divide the function by x-2. The remainder is f(2).
Given 𝒇 𝒙 = 𝒙 𝟑 −𝟒 𝒙 𝟐 +𝟓𝒙+𝟑, use the RT to find 𝒇 𝟐 .

13. The Remainder Theorem
Given 𝒇 𝒙 =𝟑 𝒙 𝟑 +𝟒 𝒙 𝟐 −𝟓𝒙+𝟑, use the RT to find 𝒇 −𝟒 .

14. Practice
P. 350, #33-40
Use Remainder Theorem, then divide to check your answers.

15. Harkness Discussion

16. Exit Slip Quiz
Good luck!