9G (2.12) FOILing

9G
(2.12) FOILing

​FOIL stands for
First: multiply the First thing in the first parentheses by the First thing in the second parentheses
Outer: multiply the First thing in the first parentheses by the Last thing in the second parentheses
Inner: multiply the Last thing in the first parentheses by the First thing in the second parentheses
Last: multiply the Last thing in the first parentheses by the Last thing in the second parentheses

Multiple Choice

( x + 1 )( x + 2 )

What do we do first?

• x(x)

• x(4)

• x(1)

• 1(2)

Multiple Choice

( x + 1 )( x + 2 )

What do we do after x(x)?

• x(x)

• x(2)

• x(1)

• 1(2)

Multiple Choice

( x + 1 )( x + 2 )

What do we do after x(2)?

• x(x)

• x(2)

• 1(x)

• 1(2)

Multiple Choice

( x + 1 )( x + 2 )

What do we do after 1(x)?

• x(x)

• x(2)

• 1(x)

• 1(2)

Multiple Choice

x(x) + x(2) + 1(x) + 1(2)

=

x² + 2x + 1x + 2

Can you simplify the answer any better?

• x² + 3x + 2

• x² + 4x + 2

• x² + x + 2

• It's good the way it is

Multiple Choice

( x + 3 )( x + 4 )

What do we do first?

• x(x)

• x(2)

• 1(x)

• 3(4)

Multiple Choice

( x + 3 )( x + 4 )

What do we do after x(x)?

• x(x)

• x(4)

• 1(x)

• 3(4)

Multiple Choice

( x + 3 )( x + 4 )

What do we do after x(4)?

• x(x)

• x(4)

• 3(x)

• 3(4)

Multiple Choice

( x + 3 )( x + 4 )

What do we do after 3(x)?

• x(x)

• x(4)

• 3(x)

• 3(4)

Multiple Choice

x(x) + x(4) + 3(x) + 3(4)

=

x² + 4x + 3x + 12

Can you simplify the answer any better?

• x² + 7x + 12

• x² + 1x + 12

• x² + 7 + 12

• It's good the way it is

Multiple Choice

( x + 3 )( x + 4 )

Try this one yourself

• x² + 7x + 10

• x² + 7x + 12

• x² + 8x + 12

• x² + 6x + 12

• x² + 7x + 14

Multiple Choice

( x + 5 )( x + 3 )

Try this one yourself

• x² + 15

• x² + 8x - 15

• x² + 8x + 8

• x² + 5x + 3

• x² + 8x + 15

Multiple Choice

( x + 2 )( x + 7 )

Try this one yourself

• x² + 9x + 21

• x² + 5x + 14

• x² + 7x + 14

• x² + 9x + 7

• x² + 9x + 14

Multiple Choice

( x - 2 )( x - 4 )

What do we do first?

• x(x)

• x(-2)

• -2(x)

• -2(-4)

Multiple Choice

( x - 2 )( x - 4 )

What do we do after x(x)?

• x(x)

• x(-4)

• -2(x)

• -2(-4)

Multiple Choice

( x - 2 )( x - 4 )

What do we do after x(-4)?

• x(x)

• x(-4)

• -2(x)

• -2(-4)

Multiple Choice

( x - 2 )( x - 4 )

What do we do after -2(x)?

• x(x)

• x(-4)

• -2(x)

• -2(-4)

Multiple Choice

x(x) + x(-4) - 2(x) - 2(-4)

=

x² - 4x - 2x + 8

Can you simplify the answer any better?

• x² -6x + 8

• x² -2x + 8

• x² + 6x + 8

• It's good the way it is

Multiple Choice

( x + 2 )( x - 4 )

What do we do first?

• x(x)

• x(-4)

• -2(x)

• -2(-4)

Multiple Choice

( x + 2 )( x - 4 )

What do we do after x(x)?

• x(x)

• x(-4)

• -2(x)

• -2(-4)

Multiple Choice

( x + 2 )( x - 4 )

What do we do after x(-4)?

• x(x)

• x(-4)

• 2(x)

• -2(-4)

Multiple Choice

( x + 2 )( x - 4 )

What do we do after 2(x)?

• x(x)

• x(-4)

• 2(x)

• 2(-4)

Multiple Choice

x(x) + x(-4) + 2(x) + 2(-4)

=

x² - 4x + 2x - 8

Can you simplify the answer any better?

• x² -6x + 8

• x² -2x - 8

• x² + 6x + 8

• It's good the way it is

Multiple Choice

( 2x + 2 )( x - 4 )

What do we do first?

• 2x(x)

• x(-4)

• 2(x)

• 2(-4)

Multiple Choice

( 2x + 2 )( x - 4 )

What do we do after 2x(x)?

• 2x(x)

• 2x(-4)

• x(-4)

• 2(-4)

Multiple Choice

( 2x + 2 )( x - 4 )

What do we do after 2x(-4)?

• 2x(x)

• 2x(-4)

• 2(x)

• 2(-4)

Multiple Choice

( 2x + 2 )( x - 4 )

What do we do after 2(x)?

• 2x(x)

• 2x(-4)

• 2(x)

• 2(-4)

Multiple Choice

2x(x) + 2x(-4) + 2(x) + 2(-4)

=

2x² - 8x + 2x - 8

Can you simplify the answer any better?

• 2x² - 6x - 8

• 2x² - 10x - 8

• 2x² - 8x + 8

• It's good the way it is

Multiple Choice

( 2x - 3 )( 3x + 5 )

What do we do first?

• 2x(3x)

• 2x(5)

• 2(x)

• 2(-4)

Multiple Choice

( 2x - 3 )( 3x + 5 )

What do we do after 2x(3x) ?

• 2x(3x)

• 2x(5)

• 2(x)

• 2(-4)

Multiple Choice

( 2x - 3 )( 3x + 5 )

What do we do after 2x(5) ?

• 2x(3x)

• 2x(5)

• -3(3x)

• 2(-4)

Multiple Choice

( 2x - 3 )( 3x + 5 )

What do we do after -3(3x) ?

• 2x(3x)

• 2x(5)

• -3(3x)

• -3(5)

Multiple Choice

2x(3x) + 2x(5) - 3(3x) - 3(5)

=

6x² + 10x - 9x - 15

Can you simplify the answer any better?

• 6x² + x - 15

• 6x² - 19x - 15

• 6x² + 19x - 15

• It's good the way it is

Multiple Choice

( x - 3 )( x + 5 )

Try this one on your own.

• x² + 8x - 15

• x² - 2x - 15

• x² - 8x + 15

• x² + 2x + 15

• x² + 2x - 15

Multiple Choice

( x + 2 )( x - 6 )

Try this one on your own.

• x² + 4x - 12

• x² - 8x - 12

• x² - 2x + 12

• x² - 4x - 12

• x² + 6x - 12

Multiple Choice

( x - 3 )( x - 7 )

Try this one on your own.

• x² - 10x - 21

• x² - 4x + 21

• x² - 10x - 7

• x² - 4x - 21

• x² - 10x + 21

Multiple Choice

( 2x - 3 )( x - 4 )

Try this one on your own.

• 2x² - 11x + 10

• 2x² - 13x + 12

• 2x² - 11x - 12

• 2x² - 9x + 12

• 2x² - 11x + 12

Multiple Choice

( x + 4 )( 3x - 4 )

Try this one on your own.

• 3x² - 8x - 16

• 3x² - 4x - 16

• 3x² - 8x + 16

• 3x² + 4x - 16

• 3x² + 8x - 16

Multiple Choice

( 6x - 4 )( x + 5 )

Try this one on your own.

• 6x² - 26x - 20

• 6x² + 26x - 20

• 6x² + 26x + 20

• 6x² + 26x + 4

• 6x² + 4x - 20

Multiple Choice

( 2x - 4 )( 3x + 5 )

Try this one on your own.

• 6x² - 2x + 10

• 6x² + 2x + 10

• 6x² - 2x - 20

• 6x² + 2x + 20

• 6x² + 2x - 20

Multiple Choice

( 4x + 7 )( 3x + 2 )

Try this one on your own.

• 12x² + 21x + 14

• 12x² + 29x + 7

• 12x² + 14

• 12x² + 29x + 14

• 12x² + 29x + 21

Multiple Choice

( 2x -5 )( 5x - 7 )

Try this one on your own.

• 10x² - 39x + 35

• 10x² - 39x - 35

• 10x² - 35x - 39

• 10x² - 39x + 30

• 10x² - 35x + 39