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What is Tic-Tac-Toe?. What is tic-tac- toe? What is tic-tac- toe? Game with xs and os Game with xs and os Method used to factor trinomials (series of.

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Presentation on theme: "What is Tic-Tac-Toe?. What is tic-tac- toe? What is tic-tac- toe? Game with xs and os Game with xs and os Method used to factor trinomials (series of."— Presentation transcript:

1 What is Tic-Tac-Toe?

2 What is tic-tac- toe? What is tic-tac- toe? Game with xs and os Game with xs and os Method used to factor trinomials (series of steps to help you factor faster) Method used to factor trinomials (series of steps to help you factor faster) Why use it? Why use it? When used correctly, it is virtually fool proof When used correctly, it is virtually fool proof It organizes your work It organizes your work Check it after you fill in Check it after you fill in

3 FIRST TERM LAST TERM INCLUDE SIGN!! MIDDLE TERM INCLUDE SIGN!! This sign tells You to add or Subtract the Factors. This sign tells you the sign of the larger factor if subtracting OR Both factors If adding.

4 Lets look at the parts of the board. This is where it all begins!! Then proceed from here. Each row will multiply across Each column will factor down!! (almost like a magic square puzzle)

5 Row 1 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 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. 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.

6 Lets outline the steps. Row 1 – First term in first spot, last term in 2 nd spot. Now multiply together and place answer in last spot. Row 1 – First term in first spot, last term in 2 nd 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. 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 2 – Spot 2 and 3 have the SAME SIGN. Row 3 – 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 doesnt 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. Now factor Columns 1 and 2. It doesnt 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. You can also check yourself by multiplying UP each column since multiplying is opposite of factoring.

7 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. We will be looking at the factors of c that we can add together to get b This sign tells you to add The factors. This signs shows Both signs Will be neg Multi across Multi up Add/sub To get Middle term

8 SIGNS!! ax2 + bx + c ax2 - bx + c ax2 + bx – c ax2 - bx - c Positive c LOOK HERE FIRST!!! Add factors Same Signs Both will Be positive LOOK HERE FIRST!!! Add factors Same Signs Both will Be Negative LOOK HERE FIRST!!! Subtract factors Opposite Signs Larger # will Be positive Larger # will Be Negative c LOOK HERE FIRST!!! Subtract factors Opposite Signs

9 c is pos. You will ADD Factors. x 2 -bx+c b is neg both factors will be neg. x 2 +bx+c b is pos. both factors will be pos.

10 c is neg. You will SUBTRACT Factors. x 2 -bx-c b is neg LARGER factor will be neg. x 2 +bx-c b is pos. LARGER factor will be pos.

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