Here is another way to factor a quadratic.

2. The Milligan MethodThe Milligan Method
• Here is another way to factor a quadratic.Here is another way to factor a quadratic.
***But always try GMF 1***But always try GMF 1stst
!!***!!***
2452
−+ yy
1st term Last term
2
1y -24
-6
4
1
1
multiply across
- 6
+ 4
-2
add these numbersthis should be the middle
term
+5
These are not the
factors that work.
1st term Last term
2
1y -24
-8
3
1
1
- 8
+ 3
- 5
close, but we need +5
multiply across

3. 1st term Last term
2
1y -24
1
1
8
-3
multiply across
8
+-3
5
2452
−+ yy
YES!
2
1y
(1y
(1y
-24
8)
-3)
This works!!
Put your parentheses and the
variables in your answer.
(y + 8) (y -
3)
Remember check using the FOIL method

4. 24143 2
−− aa
1st
term. Last term
2
3a -24 2
3a -24
2
3a -24
(3a + 4)
(1a - 6)
3
1
-6
4
3
1
4
-6
multiply across multiply across
1st
term. Last term
-6
+12
6
add these numbers
this should be the middle term
-14
4
+-18
-14
These are not the
factors that work.
YES!
This works!!
Put your parentheses and the
variables in your answer.
(3a + 4) (a - 6)
Remember check using the FOIL method

5. 25204 2
+− ww
1st term Last term 1st term Last term
2
4w +25
4
1
-5
-5
2
4w
2
4w +25
2
2
-5
-5
multiply across multiply across
add these numbers
this should be the middle term
-20
-5
+-20
-25
-10
+-10
-20
These are not the
factors that work.
YES!
This works!!
+25
(2w -5)
(2w -5)
Put your parentheses and the
variables in your answer.
Remember check using the FOIL method
(2w - 5) (2w - 5)
( )2
52 −w

6. 892
+− xx
1st
term. Last term1st
term. Last term
These are not the
factors that work.
multiply across multiply across
add these numbers
this should be the middle term
-9
YES!
This works!!
Put your parentheses and the
variables in your answer.
Remember check using the FOIL method
2
1x
2
1x
2
1x
+8 +8
+8
1
1
-4
-2
1
1
-8
-1
(x - 8)
(x - 1)
(x - 8) (x -
1)
8
+-20
-25
-5
+-20
-25

7. 2
4 x 35
1st
term. Last term
4
1
7
5
1st
term. Last term
2
4 x 35
2
2
7
5
These are not the
factors that work.
multiply acrossmultiply across
7
+20
27
14
+ 10
24
this should be the middle term
24
YES!
This works!!
2
4 x 35
(2x
(2x
+7)
+5)
Put your parentheses and the
variables in your answer.
(2x + 7) (2x + 5)
Remember check using the FOIL method
35244 2
++ xx

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