Factoring Worksheet With Examples Page 28
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50Factor each trinomial, if possible. If the trinomial cannot be factored
HOMEWORK
using integers, write prime.
For
See
2
2
2
11. 2 x
+ 7x + 5
12. 6 p
+ 5p - 6
13. 5 d
+ 6d - 8
Exercises
Examples
2
2
2
14. 8 k
- 19k + 9
15. 9 g
- 12g + 4
16. 2 a
- 9a - 18
11–22
1–2
2
2
2
17. 2 x
18. 5 c
19. 3 p
23–30
3
- 3x - 20
- 17c + 14
- 25p + 16
2
2
2
31–32
4
20. 10 n
21. 6 r
22. 30 x
- 11n - 6
- 14r - 12
- 25x - 30
Solve each equation. Check the solutions.
2
2
23. 5 x
24. 24 x
+ 27x + 10 = 0
- 14x - 3 = 0
2
2
25. 12 a
- 13a = 35
26. 6 x
- 14x = 12
2
2
27. 21 x
- 6 = 15x
28. 24 x
- 46x = 18
2
2
2
29. 17 x
- 11x + 2 = 2 x
30. 24 x
- 30x + 8 = -2x
31.
ROCK CLIMBING
Damaris is rock climbing at Joshua Tree National Park in
the Mojave Desert. She launches a grappling hook from a height of 6 feet
with an initial upward velocity of 56 feet per second. The hook just misses
the stone ledge that she wants to scale. As it falls, the hook anchors on a
ledge 30 feet above the ground. How long was the hook in the air?
32.
GYMNASTICS
The feet of a
8 ft/s
gymnast making a vault leave
the horse at a height of 8 feet
with an initial upward velocity
8 ft
of 8 feet per second. Use the
model for vertical motion to
find the time t in seconds it
takes for the gymnast’s feet to
reach the mat. (Hint: Let h = 0,
the height of the mat.)
2
2
33.
GEOMETRY
A square has an area of 9 x
+ 30xy + 25 y
square inches. What
is the perimeter of the square? Explain.
Solve each equation. Check the solutions.
2
_
_
_
_
x
2x
t
35
2
34.
-
- 4 = 0
35. t
-
=
12
3
6
6
36. (3y + 2)(y + 3) = y + 14
37. (4a - 1)(a - 2) = 7a - 5
GEOMETRY
For Exercises 38 and 39, use the following
EXTRA
information.
See pages 734, 751.
A rectangle 35 square inches in area is formed by cutting
off strips of equal width from a rectangular piece of paper.
Self-Check Quiz at
38. Find the width of each strip.
39. Find the dimensions of the new rectangle.
H.O.T.
Problems
40.
OPEN ENDED
Create a trinomial that can be factored using a pair of
numbers with a sum of 9 and a product of 14.
2
41.
CHALLENGE
+ kx + 12 can be factored as two
Find all values of k so that 2 x
binomials using integers.
2
445
Lesson 8-4 Factoring Trinomials a x
+ bx + c
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