Beginning Algebra, 11th Edition

SECTION 5.5 Multiplying Polynomials^333

Complete solution available
on the Video Resources on DVD

5.5 EXERCISES

Concept Check In Exercises 1 and 2, match each product in Column I with the correct poly-

nomial in Column II.

III

1. (a)
   (b)
   (c)
   (d) 1 - 6 x^323

15 x^723

• 5 x^716 x^32

5 x^316 x^72 A.

B.

C.

D. - 30 x^10

• 216 x^9

30 x^10

125 x^21

III

2. (a)
   (b)
   (c)
   (d) 1 x+ 521 x- 42

1 x- 521 x- 42

1 x+ 521 x+ 42

1 x- 521 x+ 42 A.

B.

C.

D. x^2 +x- 20

x^2 - x- 20

x^2 - 9 x+ 20

x^2 + 9 x+ 20

Find each product. See Objective 1.

3. 
   
   
   
   4. 
      
      
      
      5. 
         
      
      
      
      
   
   
   
   


4. 
   
   
   
   7. 
      
      
      
      8. 
         
      
      
      
      
   
   
   
   


5. 
   
   
   
   10. 
       
       
       
       11. 
           
       
       
       
       
   
   
   
   


6. 
   
   
   
   13. 
       
       
       
       14. 
           
       
       
       
       
   
   
   
   

Find each product. See Example 1.

15. 
    
    
    
    16. 
        
    
    
    
    


16. 
    
    
    
    18. 
        
    
    
    
    


17. 
    
    
    
    20. 
        
    
    
    
    


18. 
    
    
    
    22. 
        
    
    
    
    


19. 
    
    
    
    24. 
        
    
    
    
    


20. 
    
    
    
    26. 
        
    
    
    
    


21. 
    
    
    
    28. 
        
    
    
    
    

Find each product. See Examples 2– 4.

29. 
    
    
    
    30. 
        
    
    
    
    


30. 
    
    
    
    32. 
        
    
    
    
    


31. 
    
    
    
    34. 
        
    
    
    
    


32. 
    
    
    
    36. 
        
    
    
    
    


33. 
    
    
    
    38. 
        
    
    
    
    


34. 
    
    
    
    40. 
        
    
    
    
    

Find each product. Use the FOIL method. See Examples 5–7.

41. 
    
    
    
    42. 
        
        
        
        43. 
            
        
        
        
        
    
    
    
    


42. 
    
    
    
    45. 
        
        
        
        46. 
            
        
        
        
        
    
    
    
    


43. 
    
    
    
    48. 
        
        
        
        49. 
            
        
        
        
        
    
    
    
    


44. 
    
    
    
    51. 
        
        
        
        52. 
            
        
        
        
        
    
    
    
    


45. 
    
    
    
    54. 
        
        
        
        55. 
            
        
        
        
        
    
    
    
    


46. 
    
    
    
    57. 
        
        
        
        58. 
            
        
        
        
        
    
    
    
    


47. 
    
    
    
    60. 
        
        
        
        61. 
            
        
        
        
        
    
    
    
    


48. 15 x+ 7213 y- 82 63. 13 x+ 2 y 215 x- 3 y 2 64. 15 a+ 3 b 215 a- 4 b 2

13 t- 4 s 21 t+ 3 s 2 12 m- 3 n 21 m+ 5 n 2 14 x+ 3212 y- 12

18 - 3 a 212 +a 2 15 - 3 x 214 +x 2 16 - 5 x 212 +x 2

15 a+ 1212 a+ 72 1 b+ 8216 b- 22 16 - 5 m 212 + 3 m 2

110 +r 2110 - r 2 13 x- 2213 x- 22 14 m+ 3214 m+ 32

12 x+ 3216 x- 42 13 y+ 5218 y- 62 19 +t 219 - t 2

1 t- 321 t+ 82 1 x+ 521 x- 52 1 y+ 821 y- 82

1 m+ 721 m+ 52 1 n+ 921 n+ 32 1 n- 121 n+ 42

18 y^6 + 4 y^4 - 12 y^2 2a

3

4

16 x^4 - 4 x^2 + 8 x2a y^2 + 2 b

1

2

x+ 3 b

15 x^2 + 2 x+ 121 x^2 - 3 x+ 52 12 m^2 +m- 321 m^2 - 4 m+ 52

12 x- 1213 x^5 - 2 x^3 +x^2 - 2 x+ 32 12 a+ 321 a^4 - a^3 +a^2 - a+ 12

14 m+ 3215 m^3 - 4 m^2 +m- 52 12 y+ 8213 y^4 - 2 y^2 + 12

19 y- 2218 y^2 - 6 y+ 12 12 r- 1213 r^2 + 4 r- 42

16 x+ 1212 x^2 + 4 x+ 12 19 a+ 2219 a^2 +a+ 12

7 m^3 n^213 m^2 + 2 mn-n^322 p^2 q 13 p^2 q^2 - 5 p+ 2 q^22

3 a^212 a^2 - 4 ab+ 5 b^224 z^318 z^2 + 5 zy- 3 y^22

• 4 r^31 - 7 r^2 + 8 r- 92 - 9 a^51 - 3 a^6 - 2 a^4 + 8 a^22

2 y^313 + 2 y+ 5 y^422 m^416 + 5 m+ 3 m^22

• 8 z 12 z+ 3 z^2 + 3 z^32 - 7 y 13 + 5 y^2 - 2 y^32

3 p 1 - 2 p^3 + 4 p^224 x 13 + 2 x+ 5 x^32

2 m 13 m+ 22 4 x 15 x+ 32

x^2 # 3 x^3 # 2 x 14 x^3212 x^221 - x^5217 t^5213 t^421 - t^82

• 6 m^313 n^229 r^31 - 2 s^22 y^5 # 9 y#y^4


• 3 m^61 - 5 m^425 p 13 q^224 a^313 b^22

5 y^413 y^7210 p^215 p^32 - 15 a^41 - 2 a^52