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Lesson X-2

NAME DATE PERIOD

Lesson 5-2

PDF Pass

Chapter 5 13 Glencoe Algebra 2

Skills Practice

Dividing Polynomials

5-2

Simplify.

1. 10 c + 6 2 2. 12 x + 20 4 3.

15 y 3

+ 6 y 2 + 3 y 3 y 4. 12 x 2 - 4x - 8 4 x

5. (15q

6 + 5q 2 )(5 q 4 1

6. (4f

5 - 6f 4 + 12f 3 - 8f 2 )(4 f 2 1

7. (6j

2 k - 9jk 2 ) ÷ 3jk 8. (4a 2 h 2 - 8 a3 h + 3a 4 ) ÷ (2a 2 9. (n 2 + 7n + 10) ÷ (n + 5) 10. (d 2 + 4d + 3) ÷ (d + 1)

11. (2t

2 + 13t + 15) ÷ (t + 5) 12. (6y 2 + y - 2)(2y - 1) 1

13. (4g

2 - 9) ÷ (2g + 3) 14. (2x 2 - 5x - 4) ÷ (x - 3) 15. u 2 + 5u - 12 ? u - 3 16. 6x 3 + 5x 2 + 9

2x + 3

17. (3v

2 - 7v - 10)(v - 4) 1

18. (3t

4 + 4t 3 - 32t 2 - 5t - 20)(t + 4) 1 19. y 3 - y 2 - 6 y + 2

20. 2 x

3 - x 2 19 x + 15 x - 3

21. (4p

3 - 3p 2 + 2p) ÷ (p - 1) 22. (3c 4 + 6c 3 - 2c + 4)(c + 2) 1

23. GEOMETRY The area of a rectangle is x

3 + 8x 2 + 13x - 12 square units. The width of the rectangle is x + 4 units. What is the length of the rectangle? f 3 3 f 2 2 + 3f - 25c + 33x + 5 5 y 2 + 2y + 13x - 1 - 2 x 3 q 2 1 q 2 2 j - 3k2h 2 - 4ah + 3 a 2 2 n + 2d + 3 3 y + 22t + 3 2 g - 32x + 1 - 1 x 3 u + 8 + 12 u - 3 3x 2 - 2x + 3 3 v + 5 + 10 v - 4 3t 3 - 8t 2 - 5 y 2 - 3y + 6 - 18 y + 2 2x 2 + 5x - 4 + 3 x - 3 4 p 2 + p + 3 + 3 p - 1 3c 3 - 2 + 8 c - 2 x 2 + 4x - 3 units

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