x. 4 units. What is the length of the rectangle? x. 2. 4 x. 3 units. 8 c. 2. 3 p. 1. 3 x. 3. 18 y. 2. 2 x3 x2. 19 x. 15 x. 3 y3 y2. 6 y. 2. 10 v. 4. 1...
NAME ______________________________________________ DATE______________ PERIOD _____
6-3
Skills Practice Dividing Polynomials
Simplify. 10c 6 2
2.
3.
15y3 6y2 3y 3y
4.
5. (15q6 5q2)(5q4)1
6. (4f 5 6f 4 12f 3 8f 2)(4f 2)1
7. (6j 2k 9jk2) 3jk
8. (4a2h2 8a3h 3a4) (2a2)
1.
12x 20 4
12x2 4x 8 4x
10. (d 2 4d 3) (d 1)
11. (2s2 13s 15) (s 5)
12. (6y2 y 2)(2y 1)1
13. (4g2 9) (2g 3)
14. (2x2 5x 4) (x 3)
u2 5u 12 u3
2x2 5x 4 x3
15.
16.
17. (3v2 7v 10)(v 4)1
18. (3t4 4t3 32t2 5t 20)(t 4)1
y3 y2 6 y2
2x3 x2 19x 15 x3
19.
20.
21. (4p3 3p2 2p) ( p 1)
22. (3c4 6c3 2c 4)(c 2)1
23. GEOMETRY The area of a rectangle is x3 8x2 13x 12 square units. The width of the rectangle is x 4 units. What is the length of the rectangle? Chapter 6
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? 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?
Chapter 6
23
Glencoe Algebra 2
Chapter 6
1 q
3q 2 ⫹ ᎏ2
5q2)(5q4)1
A10
18 ⫺ 3y ⫹ 6 ⫺ ᎏ y⫹2
2 x
3f 2
12f 3
8f 2)(4f 2)1
2
f 3 ⫺ ᎏ ⫹ 3f ⫺ 2
6f 4
1
3 ⫹ 5x ⫺ 4 ⫹ ᎏ x⫺3
3c 3 ⫺ 2 ⫹ ᎏ c⫹2
8
22. (3c4 6c3 2c 4)(c 2)1
2x 2
2x3 x2 19x 15 20. x3
3t 3 ⫺ 8t 2 ⫺ 5
18. (3t4 4t3 32t2 5t 20)(t 4)1
2x ⫹ 1 ⫺ ᎏ x⫺3
2x2 5x 4 16. x3
2x ⫹ 1 ⫺ ᎏ x⫺3
1
14. (2x2 5x 4) (x 3)
3y ⫹ 2
12. (6y2 y 2)(2y 1)1
d⫹3
10. (d 2 4d 3) (d 1)
2h 2 ⫺ 4ah ⫹ ᎏ
3a 2 2
8. (4a2h2 8a3h 3a4) (2a2)
6.
(4f 5
Chapter 6
22
Glencoe Algebra 2
23. GEOMETRY The area of a rectangle is x3 8x2 13x 12 square units. The width of the rectangle is x 4 units. What is the length of the rectangle? x 2 ⫹ 4x ⫺ 3 units
4p 2 ⫹ p ⫹ 3 ⫹ ᎏ p⫺1
3
21. (4p3 3p2 2p) ( p 1)
y2
y3 y2 6 19. y2
3v ⫹ 5 ⫹ ᎏ v⫺4
10
17. (3v2 7v 10)(v 4)1
u⫹8⫹ᎏ u⫺3
12
u2 5u 12 15. u3
2g ⫺ 3
13. (4g2 9) (2g 3)
2s ⫹ 3
11. (2s2 13s 15) (s 5)
n⫹2
9. (n2 7n 10) (n 5)
2j ⫺ 3k
7. (6j 2k 9jk2) 3jk
5.
(15q6
15y3 6y2 3y 3y
____________ PERIOD _____
4. 3x ⫺ 1 ⫺ ᎏ
12x2 4x 8 4x
2. 3x ⫹ 5
3. 5y 2 ⫹ 2y ⫹ 1
10c 6 2
12x 20 4
Dividing Polynomials
Skills Practice
1. 5c ⫹ 3
Simplify.
6-3
NAME ______________________________________________ DATE
9m 2k
wz
5 2w
3 ⫺ 2w ⫹ 2 ⫺ ᎏᎏ w⫹3
⫹
2x 2
⫺x⫺2
1
6 3x ⫹ 1
2 3t ⫹ 1
2h4 h3 h2 h 3 h 1 2h 2 ⫺ h ⫹ 3
24. 2
2t 2 ⫹ t ⫺ 1 ⫹ ᎏᎏ
22. (6t3 5t2 2t 1) (3t 1)
2x ⫺ 1 ⫺ ᎏᎏ
Chapter 6
5x 2 ⫹ x ⫹ 3 m
23
Glencoe Algebra 2
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?
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
4p4 17p2 14p 3 2p 3 2p 3 ⫹ 3p 2 ⫺ 4p ⫹
23.
r 2 ⫹ 4r ⫹ 5
21. (2r3 5r2 2r 15) (2r 3)
12 2x ⫹ 2 ⫹ ᎏᎏ 2x ⫺ 3
20.
6x2 x 7 3x 1
6 2y ⫹ 3
18. (6y2 5y 15)(2y 3)1
4x2 2x 6 2x 3
19.
5 m⫹1
3m4 ⫺ 3m 3 ⫹ 3m 2 ⫺ 3m ⫹ 4 ⫺ ᎏ
16. (3m5 m 1) (m 1)
3y ⫺ 7 ⫹ ᎏᎏ
24 x⫹2
26 y⫹2
6y 3 ⫹ 3y 2 ⫺ 6y ⫺ 16 ⫹ ᎏᎏ
x 3 ⫺ 5x 2 ⫹ 10x ⫺ 15 ⫹ ᎏᎏ
17. (x4 3x3 5x 6)(x 2)1
x3
15. (x4 3x3 11x2 3x 10) (x 5)
3w 2
14. (6y4 15y3 28y 6) (y 2)
72 x⫹3
13. (3w3 7w2 4w 3) (w 3)
x3
2x 4x 6 12. 2x 2 ⫺ 6x ⫹ 22 ⫺ ᎏ 3
10. (b3 27) (b 3) b 2 ⫺ 3b ⫹ 9
2x2 3x 14 x2
8. 2x ⫹ 7
d 4
7d 2 ⫹ ᎏᎏ ⫺ 1
4
6. (28d 3k2 d 2k2 4dk2)(4dk2)1
2
2 3z ⫺3wz 3 ⫺ ᎏ ⫹ ᎏ ⫹ ᎏ2
11. 2x 2 ⫺ 8x ⫹ 38
2x3 6x 152 x4
9. (a3 64) (a 4) a 2 ⫹ 4a ⫹ 16
7. f ⫹ 5
f 2 7f 10 f2
a 2 ⫺ 2a ⫹ ᎏᎏ
a 4
5. (4a3 8a2 a2)(4a)1
5x ⫺ 2y ⫹ 3
4. (6w3z4 3w2z5 4w 5z) (2w2z)
6k2m 12k3m2 9m3 3k 2km m
3. (30x3y 12x2y2 18x2y) (6x2y)
r
2. ᎏ ⫺ 6k 2 ⫹ ᎏ 2
5r
Dividing Polynomials
Practice
____________ PERIOD _____
8 15r10 5r8 40r2 1. 3r 6 ⫺ r 4 ⫹ ᎏ2 4
Simplify.
6-3
NAME ______________________________________________ DATE
