Intermediate Algebra (11th edition)

43. 44.

45. 46.

47. 48.

49. 50.

51. 52.

53. 54.

55. 56.

57. 58.

59. 60.

61. 62.

63. 64.

65. 66.

67. 68.

69. 70.

71.m^2 - 4 m+ 4 - n^2 + 6 n- 9 72.x^2 + 4 +x^2 y+ 4 y

x^5 + 3 x^4 - x- 3 1 - x^16

1 r+ 2 t 23 + 1 r- 3 t 23 16 x^3 + 32 x^2 - 9 x- 18

21 m^4 - 32 m^2 - 5 1 x-y 23 - 127 - y 23

1 p+ 8 q 22 - 101 p+ 8 q 2 + 25 z^4 - 9 z^2 + 20

x^2 - y^2 - 4 15 r+ 2 s 22 - 615 r+ 2 s 2 + 9

21 a^2 - 5 ab- 4 b^2 x^2 - 2 xy+y^2 - 4

12 m^2 rx+ 4 mnrx+ 40 n^2 rx 18 p^2 + 53 pr- 35 r^2

50 p^2 - 162 y^2 + 3 y- 10

12 m+n 22 - 12 m-n 22 13 k+ 522 - 413 k+ 52 + 4

2 x^2 - 2 x- 40 27 x^3 - 3 y^3

18 p^5 - 24 p^3 + 12 p^6 k^2 - 6 k+ 16

x^2 - 4 m^2 - 4 mn-n^24 r^2 - s^2 - 2 st-t^2

m^3 +m^2 - n^3 - n^264 x^3 +y^3 - 16 x^2 +y^2

48 k^4 - 243 14 x^2 - 25 xq- 25 q^2

SECTION 6.5 Solving Equations by Factoring 343

Solve each equation. See Section 2.1.

73. 
    
    
    
    74. 
        
    
    
    
    


74. 
    
    
    
    76. 
        
    
    
    
    


75. 78.-

3

4

x- 6 = 0

1

2

x+ 5 = 0

5 x= 0 - 8 x= 0

3 x+ 2 = 0 - 2 x+ 7 = 0

PREVIEW EXERCISES

OBJECTIVES

Solving Equations by Factoring

6.5

1 Learn and use
the zero-factor
property.

2 Solve applied
problems that
require the zero-
factor property.

3 Solve a formula for
a specified variable,
where factoring is
necessary.

In Chapter 2,we developed methods for solving linear, or first-degree, equations.

Solving higher degree polynomial equations requires other methods, one of which

involves factoring.

OBJECTIVE 1 Learn and use the zero-factor property. Solving equations

by factoring depends on a special property of the number 0, called the zero-factor

property.

Zero-Factor Property

If two numbers have a product of 0, then at least one of the numbers must be 0.

If then eitherab0, a 0 or b0.