Luttrell 2012
117
Name: ______________________
Date: _____
8d – Factoring
Factoring when
a
≠ 1:
A quadratic e
x
pression of
ax
2
±
bx
±
c
can be factored in the same wa
y
as lessons 28a and 28b.
There is one e
x
tra step, and that is factoring the
a
term as well. This can create man
y
combinations to tr
y
. But after lots of practice,
y
ou will start to recognize patterns. Ask for one.
E
x
ample A: 4
x
2
- 4
x
- 3
With an
a
≠ 1 term, it just means
( )( )
there are more combinations to tr
y
.
(
x
)(
x
)
Choices: (2
x
1)(2
x
3) Or (4
x
1)(
x
3) Or (4
x
3)(
x
1)
Answer: (2
x
+ 1)(2
x
- 3)
E
x
ample B: 2
x
2
- 11
x
- 30
( )( )
Fill in the missing numbers!
(
x
)(
x
)
Choices: (2
x
±
)(
x
3) or (2
x
3)(
x
10) or (2
x
2)(
x
15) or (2
x
15)(
x
±
)
(2
x
1)(
x
±
) or (2
x
30)(
x
1) or (2
x
±
)(
x
6) or (2
x
5)(
x
6)
Answer: (2
x
- 15)(
x
+ 2)
Factor. Check work.
1. 2
x
2
+ 5
x
- 7
2. 3
x
2
- 12
x
- 15
3. 3
x
2
- 8
x
+ 4
4. 4
x
2
-
x
- 5
5. 3
x
2
- 11
x
+ 6
6. 4
x
2
- 8
x
+ 3
7. 3
x
2
-
x
- 4
8. 3
x
2
- 4
x
- 4
9. 8
x
2
- 6
x
- 9
10. 6
x
2
- 5
x
- 6
11. 6
x
2
+ 15
x
+ 6
12. 6
x
2
- 37
x
+ 6
