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What is Tic-Tac-Toe?

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What is Tic-Tac-Toe?

What is tic-tac-toe?

Game with x’s and o’s

Method used to factor trinomials (series of steps to help you factor faster)

Why use it?

When used correctly, it is virtually fool proof

It organizes your work

Check it after you fill in

Tic-Tac-Toe and Factoring

This sign tells

you the sign of

the larger factor

if subtracting OR

Both factors

If adding.

This sign tells

You to add or

Subtract the

Factors.

FIRST TERM

MIDDLE TERM

INCLUDE SIGN!!

LAST TERM

INCLUDE SIGN!!

This is where it all begins!!

Row 1

Then proceed from here.

- Each row will multiply across
- Each column will factor down!!
- (almost like a magic square puzzle)

Column 3

Row 1

First term in first spot.

Last term in next spot.

Multiply these two and place the product in the last spot.

- Column 3
- These factors must add or subtract to give you the middle term in the problem. List all the factors of this number, when you find the two numbers that add or subtract to give the middle term, you have the correct factors.

Be sure to watch your signs to know whether to add or subtract the factors and to know the signs of the factors you are using.

- Row 1 – First term in first spot, last term in 2nd spot. Now multiply together and place answer in last spot.
- Column 3 – Factor the term in the first spot. List all the factors of this number then choose the two that add or subtract (depending on your signs) to give you the middle term in the problem.
- Row 2 – Spot 2 and 3 have the SAME SIGN.
- Row 3 – Spot 2 and 3 have the SAME SIGN.
- Now factor Columns 1 and 2. It doesn’t matter which one you do first. When you have finished, multiply across Row 2 and Row 3. When multiplied together, spot 1 and 2 will always equal spot 3.
- You can also check yourself by multiplying UP each column since multiplying is opposite of factoring.

We will be looking at the factors of “c” that we can add together to get “b”

This signs shows

Both signs

Will be neg

This sign tells

you to add

The factors.

- Place first term in first spot
- Place last term in next spot
- Multiply these two
- Determine signs that go in blocks
- Now factor down column 3. List all the factors and choose the ones that will add/subtract to give you the middle term.

- Next, factor the middle column down.
- Last, factor the first column down.
- Check yourself, multiply ACROSS (L to R) all rows and UP all columns to see if you get the correct products.

Multi across

Multi up

Multi up

Add/sub

To get

Middle

term

Multi across

SIGNS!!

Negative

“c”

Positive

“c”

- ax2 + bx – c
- ax2 - bx - c

- ax2 + bx + c
- ax2 - bx + c

LOOK HERE

FIRST!!!

Add factors

Same

Signs

Both will

Be

positive

LOOK HERE

FIRST!!!

Subtract factors

Opposite

Signs

Larger # will

Be

positive

LOOK HERE

FIRST!!!

Add factors

Same

Signs

Both will

Be

Negative

Larger # will

Be

Negative

LOOK HERE

FIRST!!!

Subtractfactors

Opposite

Signs

To determine your signs

To determine your signs

Like this....