complete assignment do explanation and answer

No Work ⇔ No Points

Use Pencil Only ⇔ Be Neat & Organized

1. (2 points) Divide:

24×10 − 16×2

−4×3

1.

2. (3 points) Divide using long division:

4×2 − 5x − 26

x+2

2.

3. (3 points) Divide using long division:

6×3 − 17×2 + 14x − 2

2x − 3

3.

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Study Guide 11

Total Points: 50

25x4y − 15x3y2 − 10x2y3

4. (3 points) Divide:

10x2y3

4.

4x − 6x + 2

3

5. (3 points) Divide using long division:

x−1

5.

6. (4 points) Find an expression for the area of a triangle with base x2 + 3x + 9, and

height of 2x − 6.

6.

7. (4 points) Find an expression for the length of a rectangle with the area of

3×3 − 14×2 + 2x + 4, and width of 3x − 2.

7.

Page 2 of 4

Study Guide 11

Total Points: 50

8. (4 points) Find an expression for the width of a rectangle with the area of

12×3 + 16×2 − 7x − 6, and length of 2x + 1.

8.

9. (3 points) Divide using synthetic division:

x2 − 5x − 6

x−2

9.

10. (3 points) Divide using synthetic division:

6×3 − 17×2 − 10x + 13

x+1

10.

11. (3 points) Divide using synthetic division:

4×3 − 10x + 55

x−3

11.

Page 3 of 4

Study Guide 11

Total Points: 50

12. (3 points) Divide using synthetic division:

x4 + 3x − 6×2 − 1

x−2

12.

13. Consider f (x) = x − 13x + 36.

f (x)

(a) (3 points) Use synthetic division to find g(x) =

.

x−3

4

2

(a)

(b) (3 points) Use synthetic division to find h(x) =

g(x)

.

x+2

(b)

14. (3 points) Use synthetic division to show x − 2 is a factor of 2×2 − 3x − 2.

14.

15. (3 points) Use synthetic division to show x + 3 is a factor of x + 3×2 − x − 3.

3

15.

Page 4 of 4

Study Guide 11

Total Points: 50