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# Tic tac-toe factoring

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### Transcript

• 1. Tic-Tac-Toe Factoring A graphic organizer approach to factoring 2 nd degree trinomials
• 2. Tic-tac-toe Factoring
• If you have been having a little bit of trouble with factoring trinomials, this graphic organizer, based on a common tic-tac-toe grid, may be just what you need.
• To get the most out of this presentation, use pencil and paper and work through the instructions slowly and carefully.
• Keep in mind that tic-tac-toe will not do the factoring for you. But it will keep everything organized so you can concentrate on the numbers.
• I hope it helps. Have fun!
• 3. Step 1
• Draw a tic-tac-toe grid with an extra box at the bottom right.
• 4. Step 2
• Arrange the three terms of the trinomial in the boxes as shown.
• 5. Step 3
• In the upper right box corner put the product of ax 2 and c.
• 6. Step 4
• Now we will put some numbers in and work through the process.
• 7. Step 4
• Now we will put some numbers in and work through the process.
• Use the trinomial
• 8 x 2 – 14 x + 3 and set it up as shown.
• 8. Step 4
• Now we will put some numbers in and work through the process.
• Use the trinomial
• 8 x 2 – 14 x + 3 and set it up as shown.
• Remember that the term in the upper right box is the product of the terms in the left and middle boxes.
• 9. Step 5
• Now find a pair of factors for the value of a x 2 c that will add up to bx .
• Put these two factors into the two boxes in the right column.
• 10. Step 6
• Now find a pair of factors for the middle term of the right column that will also be factors of a x 2 and c .
• Be sure to watch the signs of the factors.
• 11. Step 7
• Now do the same for the bottom term of the right column.
• 12. Step 8
• Now all the boxes of the tic-tac-toe grid are filled in.
• Check that the two bottom terms of the first column are factors of the top term.
• 13. Step 8
• Now all the boxes of the tic-tac-toe grid are filled in.
• Check that the two bottom terms of the first column are factors of the top term.
• Do the same for the terms in the middle column.
• 14. Step 9
• The trinomial is now factored. Each pair of diagonal terms is a binomial.
• 15. Step 9
• The trinomial is now factored. Each pair of diagonal terms is a binomial.
• Here are the two factors of the trinomial:
• (4 x – 1) (2 x – 3)
• 16. Step 9
• The trinomial is now factored. Each pair of diagonal terms is a binomial.
• Here are the two factors of the trinomial:
• (4 x – 1) (2 x – 3)
• Therefore:
• 17. Try it. You’ll like it! That’s all folks!