Factoring Worksheet With Examples Page 22
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502
43.
FIND THE ERROR
Peter and Aleta are solving x
+ 2x = 15. Who is correct?
Explain your reasoning.
Peter
Aleta
2
2
x
+ 2x = 15
x
+ 2x = 15
2
x(x + 2) = 15
x
+ 2x - 15 = 0
x = 15 or x + 2 = 15
(x - 3)(x + 5) = 0
x - 3 = 0 or x + 5 = 0
x = 13
x = 3
x = -5
CHALLENGE
Find all values of k so that each trinomial can be factored
using integers.
2
2
44. x
45. x
+ kx - 19
+ kx + 14
2
2
46. x
- 8x + k, k > 0
47. x
- 5x + k, k > 0
Writing in Math
48.
Use the information about Tamika’s garden on page 434
to explain how factoring can be used to find the dimensions of a garden.
Explain how your method is related to the process used to factor trinomials
2
of the form x
+ bx + c.
2
49. Which is a factor of x
+ 9x + 18?
50.
REVIEW
An 8-foot by 5-foot section
of wall is to be covered by square tiles
A x + 2
that measure 4 inches on each side.
B x - 2
If the tiles are not cut, how many
of them will be needed to cover
C x + 3
the wall?
D x - 3
F 30
H 360
G 240
J 1440
Solve each equation. Check the solutions.
(Lesson 8-2)
2
51. (x + 3)(2x - 5) = 0
52. 7b(b - 4) = 0
53. 5 y
= -9y
Find the GCF of each set of monomials.
(Lesson 8-1)
3
5
3
2
3
4
4
54. 24, 72
55. 9p q
, 21 p
q
56. 30 x
, 75 x
y
, 20 x
z
57.
MUSIC
Albertina practices the guitar 20 minutes each day. She wants to add
5 minutes to her practice time each day until she is practicing at least 45
minutes daily. How many days will it take her to reach her goal?
(Lesson 6-3)
PREREQUISITE SKILL
Factor each polynomial.
(Lesson 8-2)
2
2
2
58. 3 y
59. 3 a
60. 4 x
+ 2y + 9y + 6
+ 2a + 12a + 8
+ 3x + 8x + 6
2
2
2
61. 2 p
- 6p + 7p - 21
62. 3 b
+ 7b - 12b - 28
63. 4 g
- 2g - 6g + 3
2
439
Lesson 8-3 Factoring Trinomials: x
+ bx + c
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