NAME
DATE
5-2
PERIOD
Practice
Dividing Polynomials
Simplify.
10
8
2
3k
9m
−
- 6k2 + −
m
6k2m - 12k 3m 2 + 9m 3
2km
15r - 5r + 40r
8
1. −−
3r6 - r 4 + −
2
5r 4
2. −−
2
3. (-30x3y + 12x2y2 - 18x2y) ÷ (-6x2y)
4. (-6w3z4 - 3w2z5 + 4w + 5z) ÷ (2w2z)
r
2k
3z 4
5
2
-3wz 3 - −
+−
+−
wz
2
2w 2
5x - 2y + 3
5. (4a3 - 8a2 + a2)(4a)-1
a
a 2 - 2a + −
4
6. (28d 3k2 + d 2k2 - 4dk2)(4dk2)-1
f2 + 7f + 10
7. −
f+2
2x2 + 3x - 14
8. −
x-2
d
7d 2 + −
-1
4
f+5
9. (a3 - 64) ÷ (a - 4) a 2 + 4a + 16
2x3 + 6x + 152
x+4
11. −
2x 2 - 8x + 38
2x + 7
10. (b3 + 27) ÷ (b + 3) b 2 - 3b + 9
72
2x 2 - 6x + 22 - −
2x3 + 4x - 6
x+3
12. −
x+3
13. (3w3 + 7w2 - 4w + 3) ÷ (w + 3)
14. (6y4 + 15y3 - 28y2 - 6) ÷ (y + 2)
3
3w 2 - 2w + 2 - −
62
6y 3 + 3y 2 - 34y + −
y+2
w+3
16. (3m5 + m - 1) ÷ (m + 1)
5
3m4 - 3m 3 + 3m 2 - 3m + 4 - −
x3 + 2x 2 - x - 2
17. (x4 - 3x3 + 5x - 6)(x + 2)-1
6
3y - 7 + −
24
x 3 - 5x 2 + 10x - 15 + −
4x2 - 2x + 6
2x - 3
x+2
19. −
x2 - x - 7
20. 6−
2
21. (2r + 5r - 2r - 15) ÷ (2r - 3)
6
2x - 1 - −
+1
3x
3
2
22. (6t + 5t - 2t + 1) ÷ (3t + 1)
2
2t 2 + t - 1 + −
r 2 + 4r + 5
4p4 - 17p 2 + 14p - 3
23. −−
2p - 3
2y + 3
3x + 1
12
2x + 2 + −
2x - 3
3
m+1
18. (6y2 - 5y - 15)(2y + 3)-1
3t + 1
2h4 - h 3 + h 2 + h - 3
24. −−
h2 - 1
2p 3 + 3p 2 - 4p + 1
2h 2 - h + 3
25. GEOMETRY The area of a rectangle is 2x2 - 11x + 15 square feet. The length of the
rectangle is 2x - 5 feet. What is the width of the rectangle? x - 3 ft
26. GEOMETRY The area of a triangle is 15x4 + 3x3 + 4x2 - x - 3 square meters. The
length of the base of the triangle is 6x2 - 2 meters. What is the height of the triangle?
5x 2 + x + 3 m
Chapter 5
14
Glencoe Algebra 2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
15. (x4 - 3x3 - 11x2 + 3x + 10) ÷ (x - 5)