Intermediate Algebra (11th edition)

358 CHAPTER 6 Factoring

MIXED REVIEW EXERCISES

Factor completely.

Solve.

65. 
    
    
    
    66. 67.The length of a rectangular picture frame is 2 in. longer than its width. The area
        enclosed by the frame is 48. What is the width?
        68.When Europeans arrived in America, many Native
        Americans of the Northeast lived in longhousesthat
        sheltered several related families. The rectangular
        floor area of a typical Huron longhouse was about
    
    
    67. The length was 85 ft greater than the
        width. What were the dimensions of the floor?
    
    
    
    

ft^2

in.^2

5 x^2 - 17 x= 12 x^3 - x= 0

8 - a^325 z^2 - 30 zm+ 9 m^215 y^3 + 20 y^2

16 - 81 k^230 a+am-am^29 x^2 + 13 xy- 3 y^2

Factor.

1. 
   
   
   
   2. 
      
   
   
   
   


2. 
   
   
   
   4. 
      
   
   
   
   


3. 
   
   
   
   6. 
      
      
      
      7. 
         
      
      
      
      
   
   
   
   


4. 
   
   
   
   9. 
      
      
      
      10. 
          
      
      
      
      
   
   
   
   


5. 
   
   
   
   12. 
       
       
       
       13. 14.Concept Check Which one of the following is nota factored form of?
           A. B.
           C. D.
       
       
       
       
   
   
   
   

Solve each equation.

15. 
    
    
    
    16. 
        
    
    
    
    


16. 
    
    
    
    18. for r
    
    
    
    

Solve each problem.

19.The area of the rectangle shown is 40. Find the length

and the width of the rectangle.

20.A ball is projected upward from ground level. After tseconds, its height in feet is given by

the function ƒ defined by

.

After how many seconds will it reach a height of 128 ft?

ƒ 1 t 2 =- 16 t^2 + 96 t

in.^2

5 m 1 m- 12 = 211 - m 2 ar+ 2 = 3 r- 6 t

3 x^2 + 8 x=- 4 3 x^2 - 5 x= 0

1 - x+ 321 x+ 42 1 x- 321 - x+ 42

13 - x 21 x+ 42 - 1 x- 321 x+ 42

• x^2 - x+ 12

y^3 - 216 6 k^4 - k^2 - 35 27 x^6 + 1

x^2 + 2 x+ 1 - 4 z^2 a^3 + 2 a^2 - ab^2 - 2 b^29 k^2 - 121 j^2

6 x^2 + 11 x- 35 4 p^2 + 3 pq-q^216 a^2 + 40 ab+ 25 b^2

3 x+by+bx+ 3 y - 2 x^2 - x+ 36

11 z^2 - 44 z 10 x^2 y^5 - 5 x^2 y^3 - 25 x^5 y^3

TEST

CHAPTER 6

View the complete solutions to
all Chapter Test exercises on
the Video Resources on DVD.

Step-by-step test solutions are found on the Chapter Test Prep Videos

available via the Video Resources on DVD, in , or on

(search “LialIntermediateAlg”).

CHAPTER

VIDEOS

2 x + 3

x + 7

The area is 40 in.^2.