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

This lecture is from Advanced Algebra. Key important points are: Long Division, Equalities and Inequalities, Arithematic Expressions, Simplification, Long Division

Typology: Exercises

2012/2013

Uploaded on 01/31/2013

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Advanced Algebra Name_________________________
Review 6.1 and 6.2
Simplify.
1.
( ) ( )
22
5n 3 7n 2−+ +
2.
( ) ( )
44
4x 2y 5x 9y +− +
3.
( ) ( )
33
7x 12y 6x 2y+ −−
4.
( )( )
x63x5+−
5.
( )
( )
22
2a 4a 5a 1 a a 3 +− +
6.
( )( )( )
x 2 x 3 2x 1+− +
7.
( )
( )
2
y 3z 4y 5+−
8.
( ) ( )
22
8x 2y 2 5 8x 7y +−− +
9.
10.
( )( )
52 25
4x y 6x y
11.
( )
( )
2
32
4
20
16 x y
2xy 12.
( )
3
24
7
2x y
4x y
13.
( )
( )
22
59
3x y 5x y
14.
4
42
8x y
16x y
15.
2
32
15
4x y
6x y
−−



16.
( ) ( )
22
2 34
365
3x y x z
12x y z
−−
17.
34
72
xy
xy
−−
18.
3
52
3
3a b
9a b



pf3

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Advanced Algebra Name_________________________ Review 6.1 and 6.

Simplify.

1. ( 5n 2 − 3 ) + ( 7n 2 + 2 ) 2. ( −4x 4 − 2y ) + −( 5x 4 + 9y) 3. ( 7x + 12y^3 ) − ( 6x −2y^3 )

4. ( x + 6 )( 3x − 5 ) 5. 2a 2 ( 4a 2 − 5a + 1 ) − a a( + 3 ) 6. ( x + 2 )( x − 3 )( 2x + 1 )

7. ( y^2 + 3z ) ( 4y − 5 ) 8. ( 8x − 2y^2 + 2 ) − ( 5 − 8x + 7y^2 ) 9. ( x + 3y ) ( x 2 − 5xy +6y^2 )

10. ( 4x y^5 2 )( −6x y 2 5 ) 11.

3 2 2 2 0 4

16 x y 2 x y

2 4 3 7

2x y 4x y

13. ( 3x y^5 ) 2 ( −5x )^2 y^9 14.

4 4 2

8x y 16x y−^

3 2 2 1 5

4x y 6x y

− − −

16. (^ ) (^ )

2 2 3 4 2 3 6 5

3x y x z 12x y z

− −^ −

3 4 7 2

x y x y

− − − 18.

5 2 3 3

3a b 9a b

−^ − −

Divide.

19. ( 32x y^6 4 − 24x y^2 9 + 4x y^2 ) ÷ ( 4x y^2 ) 20.

4 5 3 4 2 11 2 2

32a b 22a b 8a b 2a b

Divide using long division.

21. ( 15x 3 + 26x 2 − 11x − 6 ) ÷ ( 5x − 3 ) 22. ( 12y^3 + 4y 2 − 24y − 13 ) ( 3y + 1 ) −^1

23. ( 4x 4 + 3x 2 − 6x + 3 ) ÷ ( 2x − 1 ) 24. ( 9x 5 + 2x 3 + 5x 2 + x − 1 ) ÷ ( 3x − 1 )

Divide using synthetic division.

25. ( n 4 + 5n^3 − 6n + 3 ) ÷ ( n + 3 ) 26. ( 8x 3 − 12x 2 + 24x − 16 ) ÷ ( x − 1 )