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FACTORING

Slide 2

The Milligan Method

The Milligan Method

Here is another way to factor a quadratic.

***But always try GMF 1st!!***

1st term Last term

-24

-6

4

1

1

multiply across

- 6

+ 4

-2

add these numbers

this should be the middle term

+5

These are not the factors that work.

1st term Last term

-24

-8

3

1

1

- 8

+ 3

- 5

close, but we need +5

multiply across

Slide 3

1st term Last term

1st term Last term

-24

1

1

8

-3

multiply across

8

+-3

5

YES!

(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

Slide 4

1st term. Last term

1st term. Last term

-24

-24

-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

Slide 5

1st term Last term

1st term Last term

1st term Last term

+25

4

1

-5

-5

+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)

Slide 6

1st term. Last term

1st term. Last term

1st 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

+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

Slide 7

35

35

1st term. Last term

4

1

7

5

1st term. Last term

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