Review 2.1 to 2.3

Quiz Review 2.1 to 2.3 No Calculator Allowed

Review 2.1 to 2.3

1. Find the vertex or relative max/mins, x & y intercepts, graph & label the graph

f (x) = 2(x - 3) 2 - 1

x

y

Review 2.1 to 2.3

2. Find the vertex or relative max/mins, x & y intercepts, graph & label the graph

f (x) = - x2 + 8x + 11

Review 2.1 to 2.3

3. Find the vertex or relative max/mins, x & y intercepts, graph & label the graph

f (x) = x3 + x2 - 2x

Review 2.1 to 2.3

4. Write the quadratic equation given: vertex (6, 2) and Point (3, 8)

Review 2.1 to 2.3

5. Write the quadratic equation given: vertex (2, 3) and Point (0, 2)

Optional

Review 2.1 to 2.3

6. Write the quadratic equation given point: A (3, 0) and B ( - 4, 0)

Review 2.1 to 2.3

7. Write the cubic equation given the zero's:

x = - 1, 2, - 3

Review 2.1 to 2.3

8. Write the cubic equation given the zero's: x = - 3, 2 + √ 7

Review 2.1 to 2.3

9. Write the cubic equation given the zero's of :

x = 4, 1 + √ 2

Optional

Review 2.1 to 2.3

10. Find all of the zeros given :

f (x) = 3x2 - 12x +3

Review 2.1 to 2.3

11. Find all of the zeros given f (x) = 2x4 - 18x2 + 40

Review 2.1 to 2.3

12. Find all of the zeros given:

f (x) = x3 - 4x2 - 25x + 100

Optional

Review 2.1 to 2.3

13. Verify that each is a zero of the polynomial f (x) = x4 - 3x2 + 2

and x = - √ 2

Review 2.1 to 2.3

14. Verify that each is a zero of the polynomial f (x) = x3 + x2 - 7x - 3

and x = 1 + √ 2

Optional

Review 2.1 to 2.3

15. Divide using long division, check using synthetic division - x3 + 75x -200 by x + 10

Review 2.1 to 2.3

16. Divide using long division, check using synthetic division x3 + 6x2 - x - 30 by x - 2

Review 2.1 to 2.3

17. Express the function in the form: f (x) = (x - k) q (x) + r f (x) = x3 + 2x2 - 3x + 5 and k = 2

Review 2.1 to 2.3

18. Express the function in the form: f (x) = (x - k) q (x) + r f (x) = 5x3 + 8x2 - 3x + 1 and k=-1

Optional

Review 2.1 to 2.3

19. A rectangular dog pen is constructed using a barn as one side, and 60 m of fencing for the remaining three sides. Find the dimensions and the maximum area of the pen.

Optional

Review 2.1 to 2.3

20. A rectangular garden is being fenced in and divided into three equal areas. You have 144 feet of fencing. Find the dimensions and the maximum area of the gardens.

Review 2.1 to 2.3

21. An open box is made from a rectangular piece of material, 12 inches by 10 inches, by cutting equal squares from each corner and turning up the sides. Find the dimensions and volume of the box such that you will maximize the volume.

Review 2.1 to 2.3

22. A pig trough is made from a rectangular piece of sheet metal measuring 14 x 8 feet. You will be cutting the squares from each corner and turning up the sides to assemble the trough. Find the dimensions of the trough that will maximize the volume.

Optional

Review 2.1 to 2.3