Algebra Homework

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.
Page 1 of 4
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