Download (x3 4x2) (4x

Chapter Summary and Review continued
10.7
Examples on
pp. 609–612
FACTORING SPECIAL PRODUCTS
EXAMPLES
Factor using the special product patterns to solve the equations.
a2 b2 (a b)(a b)
a2 2ab b2 (a b)2
x2 64 0
x2 4x 4 0
x2 82 0
x2 2(x)(2) 22 0
(x 8)(x 8) 0
(x 2)2 0
x80
or x 8 0
x20
x8
x2
x 8
ANSWER 䊳
The solutions are 8 and 8.
ANSWER 䊳
The solution is 2.
Use factoring to solve the equation.
10.8
40. b2 49 0
41. 16a2 1 0
42. 9d2 6d 1 0
43. m2 100 0
44. 4b2 12b 9 0
45. 25x2 20x 4 0
Examples on
pp. 616–619
FACTORING CUBIC POLYNOMIALS
EXAMPLES
Factor using the distributive property or the special product patterns.
a 3 b 3 (a b)(a 2 ab b 2)
Factor by Grouping
x3 125 x3 53
x3 4x2 4x 16
(x 5)(x2 5x 25)
(x3 4x2) (4x 16)
x2(x 4) (4)(x 4)
(x 4)(x2 4)
a3 b3 (a b)(a2 ab b2)
c3 216 c3 63
(x 4)(x 2)(x 2)
(c 6)(c 6c 36)
2
Factor the expression completely.
46. 2x3 6x2 14x
47. 5y4 20y3 10y2
48. x3 3x2 4x 12
49. 3y3 4y2 6y 8
50. x3 64
51. 27b3 1
53. 2x2 50 0
54. 8x3 25x 30x2
Solve the equation.
52. x2 6x 5 0
626
Chapter 10
Polynomials and Factoring