1. MORE
FACTORING

2. The Milligan Method Here is another way to factor a quadratic. -24 -24
***But always try GMF 1st!!***
1st term Last term
1st term Last term
-24
-24
These are not the factors that work. 1 -8 3 1 -6 4
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. Put your parentheses and the variables in your answer.
1st term Last term
-24
-24
(1y 8)
-3) 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. -24 (3a + 4) (a - 6) (3a + 4) (1a - 6) 1st term. Last term-6 4 3 1 4 -6
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
010607b RADICALS: Solving Radicals
(3a + 4) (a - 6)
(3a )
Remember check using the FOIL method
(1a )
Put your parentheses and the variables in your answer. 4

5. (2w - 5) (2w - 5) +25 +25 +25 1st term Last term 1st term Last term -54 1 -5 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 )
(2w )
Put your parentheses and the variables in your answer.
Remember check using the FOIL method

6. (x - 8) (x - 1) (x - 8) (x - 1) 1st term. Last term+8 +8 1 1 -8 -1 -4 -2
These are not the factors that work.
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 )
(x )
(x - 8) (x - 1)
Put your parentheses and the variables in your answer.
Remember check using the FOIL method

7. (2x + 7) (2x + 5) 35 35 35 1st term. Last term 1st term. Last term 4 1
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
010305x RADICALS: Solving Radicals
(2x
+7)
+5)
(2x + 7) (2x + 5)
Put your parentheses and the variables in your answer.
Remember check using the FOIL method 7

8. This powerpoint was kindly donated to www.worldofteaching.com
is home to over a thousand powerpoints submitted by teachers. This is a completely free site and requires no registration. Please visit and I hope it will help in your teaching.