1. Name:__________ warm-up 5-5
Simplify (m3 – 3m2 – 18m + 40) ÷ (m + 4).
Simplify (p3 – 8) ÷ (p – 2).
Simplify (4x4 – x3 – 19x2 + 11x – 3) ÷ (x – 2).

2. If the area of a parallelogram is given by x2 – 5x + 4 and the base is x – 1, what is the height of the figure?
The volume of a box is given by the expression x3 + 3x2 – x – 3. The height of the box is given by the expression x – 1. Find an expression for the area of the base of the box.
Writing a polynomial as a quadratic polynomial

3. Name:__________ warm-up 5-5
Factor the polynomial x 3 – 800. If the polynomial cannot be factored, write prime
Factor the polynomial 64x 5 + 8x 2y 3. If the polynomial cannot be factored, write prime
Factor the polynomial x 5 + 8y 3. If the polynomial cannot be factored, write prime
Factor the polynomial 24x³ -24. If the polynomial cannot be factored, write prime

4. If the area of a parallelogram is given by x2 – 6x + 5 and the base is x – 1, what is the height of the figure?
The volume of a box is given by the expression x3 - 5x2 + 8x – 4. The height of the box is given by the expression x – 1. Find an expression for the area of the base of the box.

5. Details of the Day Activities: EQ:
How do polynomials functions model real world problems and their solutions?
I will be able to…
Activities:
Warm-up
Review homework
Notes: Dividing Polynomials
Quiz- 5-1&2
Marking Period Exam – Friday April 11
All make-up work due Wednesday, April 9-no exceptions
Vocabulary:
prime polynomials
quadratic form
Factor polynomials. .
Solve polynomial equations by factoring.

6. Details of the Day Activities: EQ:
How do polynomials functions model real world problems and their solutions?
I will be able to…
Activities:
Warm-up
Review exam
Notes: 5-5 (rest)
Classwork/homework
Grades are posted
Vocabulary:
prime polynomials
quadratic form
Factor polynomials. .
Solve polynomial equations by factoring.

7. 5-5 Solving Polynomial Equations
x 6 – 35x = 0.
Slope
x 4 – 29x = 0.
x 4 – 29x = 0
SlopeSlopeSlopeSlopeSlopeSlopeSlopeSlope

8. A Quick Review Simplify (m3 – 3m2 – 18m + 40) ÷ (m + 4).
Simplify (p3 – 8) ÷ (p – 2).
Simplify (4x4 – x3 – 19x2 + 11x – 3) ÷ (x – 2).

9. A Quick Review
If the area of a parallelogram is given by x2 – 5x + 4 and the base is x – 1, what is the height of the figure?
The volume of a box is given by the expression x3 + 3x2 – x – 3. The height of the box is given by the expression x – 1. Find an expression for the area of the base of the box.

10. Notes and examples
Factor the polynomial x 3 – 400. If the polynomial cannot be factored, write prime
Factor the polynomial 24x 5 + 3x 2y 3. If the polynomial cannot be factored, write prime

11. Notes and examples
Factor the polynomial 54x x 2y 3. If the polynomial cannot be factored, write prime.
Factor the polynomial 64x y 5. If the polynomial cannot be factored, write prime

12. Notes and examples

13. Notes and examples
Factor the polynomial x 3 + 5x 2 – 2x – 10. If the polynomial cannot be factored, write prime.
Factor the polynomial a 2 + 3ay + 2ay 2 + 6y 3. If the polynomial cannot be factored, write prime.

14. Notes and examples
Factor the polynomial d 3 + 2d 2 + 4d + 8. If the polynomial cannot be factored, write prime.
Factor the polynomial r 2 + 4rs 2 + 2sr + 8s 3. If the polynomial cannot be factored, write prime

15. Notes and examples
Factor the polynomial x 2y 3 – 3xy 3 + 2y 3 + x 2z 3 – 3xz 3 + 2z 3. If the polynomial cannot be factored, write prime
Factor the polynomial 64x 6 – y 6. If the polynomial cannot be factored, write prime

16. Notes and examples
Factor the polynomial r 3w 2 + 6r 3w + 9r 3 + w 2y 3 + 6wy 3 + 9y 3. If the polynomial cannot be factored, write prime
. Factor the polynomial 729p 6 – k 6. If the polynomial cannot be factored, write prime
The Factor Theorem

17. Notes and examples
GEOMETRY Determine the dimensions of the cubes below if the length of the smaller cube is one half the length of the larger cube, and the volume of the shaded figure is 23,625 cubic centimeters.

18. Notes and examples
GEOMETRY Determine the dimensions of the cubes below if the length of the smaller cube is one half the length of the larger cube, and the volume of the shaded figure is 5103 cubic centimeters

19. Notes and examples Write 2x 6 – x 3 + 9 in quadratic form, if possible

20. Notes and examples
Write 6x 10 – 2x 5 – 3 in quadratic form, if possible
Write x 8 – 3x 3 – 11 in quadratic form, if possible.

21. Notes and examples Solve x 4 – 29x 2 + 100 = 0

22. Notes and examples

23. Notes and examples