Basic Mathematics for College Students

Multiply.

13. (3x^2 )(4x^3 ) 14. ( 2 a^3 )(3a^2 )


14. (3b^2 )( 2 b) 16. (3y)(y^4 )


15. ( 2 x^2 )(3x^3 ) 18. ( 7 x^3 )( 3 x^3 )


16. 
    
    
    
    20. 
        
    
    
    
    


17. 3(x4) 22. 3(a2)


18. 4(t7) 24. 6(s^2 3)


19. 3 x(x2) 26. 4 y(y5)


20.  2 x^2 (3x^2 x) 28. 4 b^3 (2b^2  2 b)


21. 2 x(3x^2  4 x7) 30. 3 y(2y^2  7 y8)


22. p(2p^2  3 p2) 32.  2 t(t^2 t1)


23. 3 q^2 (q^2  2 q7) 34. 4 v^3 ( 2 v^2  3 v1)


24. (a4)(a5) 36. (y3)(y5)


25. (3x2)(x4) 38. (t4)(2t3)


26. (2a4)(3a5) 40. (2b1)(3b4)

Square each binomial.

41. (2x3)^2 42. (2y5)^2


42. (2x3)^2 44. (2y5)^2


43. (5t1)^2 46. (6a3)^2


44. (9b2) 48. (7m2)^2

Multiply.

49. (2x1)(3x^2  2 x1)


50. (x2)(2x^2 x3)


51. (x1)(x^2 x1)


52. (x2)(x^2  2 x4)


53. (x2)(x^2  3 x1)


54. (x3)(x^2  3 x2)


55. (r^2 r3)(r^2  4 r5)


56. (w^2 w9)(w^2 w3)

Multiply.

57. 
    
    
    
    58. 5 r 6
        2 r 1
    
    
    
    

4 x 3

x 2

a

2

5

r^4 ba

3

5

a r^2 b

2

3

y^5 ba

3

4

y^2 b

PRACTICE 59. 60.

61. 
    
    
    
    62. 
        
    
    
    
    


62. 
    
    
    
    64. 
        
    
    
    
    


63. GEOMETRY Find a polynomial that represents
    the area of the rectangle (Hint:Recall that the
    area of a rectangle is the product of its length
    and width).


64. SAILING The height hof the triangular sail is
    4 xfeet, and the base bis (3x2) feet. Find a
    polynomial that represents the area of the sail.
    (Hint:The area of a triangle is given by the formula
    .)


65. STAMPS Find a polynomial that represents the area
    of the stamp.

USA FIRST CLASS

(2x + 1) cm

(3x – 1) cm

(3x − 2) ft

4 x ft

A^12 bh

(x + 2) ft

(x − 2) ft

APPLICATIONS

5 r 2 r 6

2 r 1

4 x^2  3 x 4

3 x 2

4 x^2  2 x 1

2 x 1

x^2 x 1

x 1

6 r 5

2 r 3

4 x 2

3 x 5

A-20 Appendix II Polynomials