1. Today:
Warm-Up: Review for Final Exam
Completing the Square Class Work

2. Reminders:
•Final Exam Tomorrow
•20 questions on +, - *, /, polynomials, Factoring
polynomials; Quadratic Equations including
Completing the Square
•1st, 2nd Periods leave notebooks tomorrow, 3rd &
4th Wednesday
•All outstanding class work due at end of day
tomorrow. Cannot be accepted after then

3. Warm-Up/Final Exam Review:
Dividing Polynomials
Multiplying Polynomials
Many Combinations of Polynomials can be multiplied

4. Warm-Up/Final Exam Review:
Adding & Subtracting Polynomials

5. Warm-Up/Final Exam Review:
Notes:
A. Solving by using square roots can happen only
when there is no 'b' term.
B. Every Quadratic can be solved by completing the
square; check first to see if the equation can be factored
Write the equation which gives the following
solutions: 0, 3

6. Warm-Up/Final Exam Review:
Factoring Polynomials & Quadratic Equations
1. T or F, Are Quadratic Equations Polynomials?
2. That's right, but Quadratic Equations are
polynomials with restrictions. What requirements
define Quadratics?
Factor the following equations:
x2 + 2x = 3
x2 + 10x + 30 = 0

7. Warm-Up/Final Exam Review:
The length of a rectangle is 8 inches more than the
width. The area of the rectangle is 308 sq. inches.
Find the length and width by completing the square.
Area = l x w. w(w + 8) = 308 w2 + 8w = 308
w2 + 8w + 16 = 324 (w + 4)2 = 324
(w + 4) = √324 (w + 4) = √324 (w + 4) = √81•4 = 18
w = -4 ± 18; w = -22, w = 14, l = 22

8. Warm-Up/Final Exam Review:

9. Warm-Up/Final Exam Review:

10. Solving Quadratic Equations:

11. Warm-Up/Final Exam Review:

12. Warm-Up/Final Exam Review:

13. Write the equation which gives the following solutions.
Your solutions must be integers (whole numbers).