Factoring. The milligan method

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MORE FACTORING
2
The Milligan Method

• Here is another way to factor a quadratic. 
• But always try GMF 1st!!

1st term Last term
1st term Last term
-24
-24
These are not the factors that work.
-8 3
1 1
-6 4
1 1
multiply across
multiply across
- 8 3 - 5
- 6 4 -2
add these numbers
this should be the middle term 5
close, but we need 5
3
1st term Last term
-24
-24
(1y (1y
8) -3)
1 1
8 -3
This works!!
multiply across
Put your parentheses and the variables in your
answer.
8 -3 5
YES!
(y 8) (y - 3)
Remember check using the FOIL method
4
1st term. Last term
1st term. Last term
-24
-24
-6 4
3 1
4 -6
3 1
These are not the factors that work.
This works!!
multiply across
multiply across
-6 12 6
4 -18 -14
add these numbers
this should be the middle term -14
YES!
-24
(3a 4) (a - 6)
(3a 4)
Remember check using the FOIL method
(1a - 6)
Put your parentheses and the variables in your
answer.
5
1st term Last term
1st term Last term
25
25
-5 -5
4 1
-5 -5
2 2
These are not the factors that work.
This works!!
multiply across
multiply across
-5 -20 -25
add these numbers
-10 -10 -20
this should be the middle term -20
YES!
(2w - 5) (2w - 5)
25
(2w -5)
(2w -5)
Put your parentheses and the variables in your
answer.
Remember check using the FOIL method
6
1st term. Last term
1st term. Last term
8
8
1 1
1 1
-8 -1
These are not the factors that work.
-4 -2
This works!!
multiply across
multiply across
8 -20 -25
add these numbers
-5 -20 -25
this should be the middle term -9

YES!
8
(x - 8)
(x - 1)
(x - 8) (x - 1)
Put your parentheses and the variables in your
answer.
Remember check using the FOIL method
7
1st term. Last term
1st term. Last term
35
35
4 1
7 5
2 2
7 5
These are not the factors that work.
This works!!
multiply across
multiply across
7 20 27
14 10 24
this should be the middle term 24
YES!
35
(2x (2x
7) 5)
(2x 7) (2x 5)
Put your parentheses and the variables in your
answer.
Remember check using the FOIL method
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