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Division Problems - Advanced Algebra - Practice Problems, Exercises of Calculus

Birla Institute of Technology and ScienceCalculus

This lecture is from Advanced Algebra. Key important points are: Division Problems, Linear Equations, Algebraic Solutions, Addition, Subtraction

Typology: Exercises

2012/2013

Uploaded on 01/31/2013

badsha
badsha ๐Ÿ‡ฎ๐Ÿ‡ณ

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Name___________________
Advanced Algebra Chapter 5-7A Review
Factor completely.
1)
2
x 7x 8โˆ’โˆ’
2)
2
6x x 2
+โˆ’
3)
2
y9โˆ’
4)
2
x 11x 18++
5)
2
8y 22y 5โˆ’+
6)
7)
3xy 4y 6xz 8z++ +
8)
2
12x 2x 24+โˆ’
9)
2
36y 60y 25โˆ’+
10)
abc axy 3bc 3xy+โˆ’โˆ’
11)
2
24x 6x 9โˆ’โˆ’
12)
2
8x 24x 18โˆ’+
13)
2
x 14x 49โˆ’+
14)
2
3x 24x 36โˆ’+
15)
2
5y 8y 4โˆ’โˆ’
16)
2
x 8x 16++
17)
32
2n 4n 30nโˆ’โˆ’
18)
2
3y 75โˆ’
19)
32
15x y 18xyโˆ’
20)
3
yyโˆ’
21)
2
x 11x 24โˆ’+
22)
7ax 35a 2bx 10b+++
23)
32
3x x y 3x y+ โˆ’โˆ’
24)
2
x 3x 18+โˆ’
pf3
pf4
pf5

Partial preview of the text

Download Division Problems - Advanced Algebra - Practice Problems and more Exercises Calculus in PDF only on Docsity!

Name___________________

Advanced Algebra Chapter 5-7A Review

Factor completely.

  1. (^) x 2 โˆ’ 7x โˆ’ 8 2) (^) 6x^2 + x โˆ’ 2 3) (^) y^2 โˆ’ 9

  2. (^) x^2 + 11x + 18 5) (^) 8y 2 โˆ’ 22y + 5 6) (^) 2x 2 โˆ’ 32

  3. 3xy + 4y + 6xz + 8z 8) (^) 12x 2 + 2x โˆ’ 24 9) (^) 36y^2 โˆ’ 60y + 25

  4. abc + axy โˆ’ 3bc โˆ’ 3xy 11) (^) 24x 2 โˆ’ 6x โˆ’ 9 12) (^) 8x 2 โˆ’ 24x + 18

  5. (^) x^2 โˆ’ 14x + 49 14) (^) 3x 2 โˆ’ 24x + 36 15) (^) 5y 2 โˆ’ 8y โˆ’ 4

  6. (^) x 2 + 8x + 16 17) (^) 2n^3 โˆ’ 4n 2 โˆ’ 30n 18) (^) 3y 2 โˆ’ 75

  7. (^) 15x y^3 โˆ’18xy 2 20) (^) y^3 โˆ’ y 21) (^) x 2 โˆ’11x + 24

  8. 7ax + 35a + 2bx + 10b 23) (^) 3x 3 + x y^2 โˆ’ 3x โˆ’ y 24) (^) x 2 + 3x โˆ’ 18

  1. 5mx + 35m + 3ax + 21a 26) (^) 9x 2 + 42xy + 49y^2 27) (^) 24x 2 โˆ’ 5x โˆ’ 36

  2. (^) 16x^2 โˆ’ 8x + 1 29) (^) 18x 2 + 35x + 12 30) (^) 6n 2 โˆ’11n โˆ’ 2

Factor.

  1. (^) 27m 3 โˆ’ 8b^3 32) (^) 64x^6 +125n^3

  2. (^) 12x 2 โˆ’15xy + 21x + 8xy โˆ’10y 2 + 14y 34) (^) 2x 2 + 14x โˆ’ 16 + x y^2 + 7xy โˆ’8y

Simplify.

35) ( โˆ’5n โˆ’13n 2 ) + ( 9n 2 โˆ’ 3n) 36) ( 2x y^2 5 )( โˆ’3x y^6 )

37) ( โˆ’b 2 ) (^4 โˆ’2b 3 )^5 38) ( 4a b 3 2 ) (^3 โˆ’3ab 4 )^2

39) ( x โˆ’ 3 )( 2x + 1 ) 40) 3x 2 ( 2x 2 โˆ’ 4x + 2 ) โˆ’ x 3 ( x + 3 )

  1. 2 4 3 3

6 x 2 x

โˆ’ โˆ’ โˆ’ โˆ’

  1. 4 3 2 3 1 6 6

3m n k 4m n k

โˆ’ โˆ’ โˆ’ โˆ’ โˆ’

  1. 2 5 2 5 10

4x y z 2x yz

  1. 3 2 4 3 5 12

3a b c 6b c

โˆ’^ โˆ’ โˆ’

  1. 1 7 2 4

5 x 3 x

โˆ’ โˆ’ โˆ’

58) ( x + 4 )^3

Divide.

59) ( 28k py 3 โˆ’ 42kp y 3 2 + 56kp y 3 3 ) ( 14kpy ) โˆ’^1 60) 5 3 2 2 4

2

12a b 9a b 15a b 3a b

Divide using long division.

61) ( 4x^3 โˆ’ 8x 2 + 5x โˆ’ 8 ) รท ( 2x โˆ’ 1 ) 62) ( 2y^3 โˆ’ 7y^2 โˆ’ 8y + 16 ) ( y + 1 ) โˆ’^1

63) ( 6x^3 + 5x^2 + 9 ) รท ( 2x + 3 ) 64) ( 9x 3 โˆ’ 12x 2 โˆ’ 7 ) รท ( 3x + 2 )

Divide using synthetic division.

65) ( 2x^3 โˆ’ 9x โˆ’ 6 ) รท ( x โˆ’ 3 ) 66) ( n 4 + 5n 3 โˆ’ 11n + 3 ) รท ( n + 3 )

Answers

1. ( x + 1 )( x โˆ’ 8 )

2. ( 2x โˆ’ 1 )( 3x + 2 )

3. ( y + 3 )( y โˆ’ 3 )

4. ( x + 9 )( x + 2 )

5. ( 2y โˆ’ 5 )( 4y โˆ’ 1 )

6. 2 x( + 4 )( x โˆ’ 4 )

7. ( 3x + 4 )( y +2z)

8. 2 2x( + 3 )( 3x โˆ’ 4 )

9. ( 6y โˆ’ 5 )^2

10. ( bc + xy)( a โˆ’ 3 )

11. 3 2x( + 1 )( 4x โˆ’ 3 )

12. 2 2x( โˆ’ 3 )^2

13. ( x โˆ’ 7 )^2

14. 3 x( โˆ’ 6 )( x โˆ’ 2 )

15. ( y โˆ’ 2 )( 5y + 2 )

16. ( x + 4 )^2

17. 2n n( + 3 )( n โˆ’ 5 )

18. 3 y( +^5 )( y^ โˆ’^5 )

19. 3xy 5x( 2 โˆ’6y)

20. y y( + 1 )( y โˆ’ 1 )

21. ( x โˆ’ 8 )( x โˆ’ 3 )

22. ( x + 5 )( 7a +2b)

23. ( 3x + y )( x + 1 )( x โˆ’ 1 )

24. ( x + 6 )( x โˆ’ 3 )

25. ( x + 7 )( 5m +3a)

26. ( 3x +7y)^2

27. ( 3x โˆ’ 4 )( 8x + 9 )

28. ( 4x โˆ’ 1 )^2