Transcript The Milligan Method • Here is another way to factor a quadratic. ***But always try GMF 1st!!*** y  5 y  24 1st term Last.

The Milligan Method
•
Here is another way to factor a quadratic.
***But always try GMF 1st!!***
2
y  5 y  24
1st term
Last term
1y 2
-24
1
-6
1
4
multiply across
-6
+4
-2
1st term
Last term
1y 2
-24
1
-8
These are not the
factors that work.
1
3
multiply across
add these numbers
this should be the middle term
+5
-8
+3
-5
close, but we need +5
2
y  5 y  24
1st term
1y
1
2
Last term
1y 2
-24
8
This works!!
1
-3
multiply across
8
+-3
YES!
5
-24
(1y
8)
(1y
-3)
Put your parentheses and the
variables in your answer.
(y + 8) (y - 3)
Remember check using the FOIL method
2
3a  14a  24
1st term.
3a2
Last term
1st term.
3a2
-24
3
-6
1
4
These are not the
factors that work.
3
1
Last term
-24
4
-6
This works!!
multiply across
multiply across
-6
4
add these numbers
+12
this should be the middle term +-18
YES!
6
-14
-14
3a2
(3a
(1a
-24
+ 4)
- 6)
(3a + 4) (a - 6)
Remember check using the FOIL method
Put your parentheses and the
variables in your answer.
4w2  20w  25
1st term
4w
2
1st term
Last term
4w 2
+25
4
-5
1
-5
These are not the
factors that work.
2
2
Last term
+25
-5
This works!!
-5
multiply across
multiply across
-5
add these numbers
-10
+-20
+-10
this
should
be
the
middle
term
YES!
-25
-20
-20
4w 2
(2w
(2w
+25
-5)
-5)
Put your parentheses and the
variables in your answer.
(2w - 5) (2w - 5)
2w  5 
2
Remember check using the FOIL method
x 2  9x  8
1st term.
Last term
1x 2
+8
1
-4
1
1st term.
These are not the
factors that work.
-2
Last term
1x 2
+8
1
-8
1
-1
This works!!
multiply across
multiply across
8
add these numbers
-5
+-20
this should be the middle term
+-20
YES!
-25
-9
-25
+8
1x 2
(x
(x
- 8)
- 1)
Put your parentheses and the
variables in your answer.
(x - 8) (x - 1)
Remember check using the FOIL method
4 x 2  24x  35
1st term.
Last term
1st term.
4x 2
35
4x 2
4
7
1
5
These are not the
factors that work.
Last term
35
2
7
2
5
This works!!
multiply across
multiply across
7
14
this should be the middle term
+20
+ 10
24
27
YES!
24
4x 2
35
(2x
+7)
(2x
+5)
Put your parentheses and the
variables in your answer.
(2x + 7) (2x + 5)
Remember check using the FOIL method
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