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T IC -T AC -T OE F ACTORING Presented by: Jennifer Morgan and Christina Guynes Grady ISD Kermit ISD

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D AY O NE – F ACTOR T ABLES Find the pair of numbers that will multiply to make the bottom number and add to give you the top number. 7 12 9 20 10 24 3 4 4 6 5 4

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F ACTOR T ABLES … -5 -24 -3 -28 -25 84 40 144 3 -8 -4 -21 36 4 -7 4

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T IC -T AC -T OE M ETHOD 236 6 111 23 x x First term goes here Third term goes here Multiply across to get this number What factors of 6 will add to get 7? Factors must multiply across to last number Factors multiply up to top number X’s go in the first column Factors come from the diagonals

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3515 111 35 n n First term goes here Third term goes here Multiply across to get this number What factors of 15 will add to get 16? Factors must multiply across to last number Factors multiply up to top number n’s go in the first column Factors come from the diagonals

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3-10-30 What factors of 30 will subtract to get 7? 10 3 - Negatives transfer to middle column Does 3 go into 10 evenly? No, so put a 1 in this place. 3 1 1 10 x x - Which factor needs to be negative to get a positive 7?

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4-15-60 What factors of 60 will subtract to get 4? Factors of 60 1 * 60 2 * 30 3 * 20 4 * 15 5 * 12 6 * 10 6 -10 Negatives transfer to middle column - Start with the 4. It can’t go into either 6 or 10 evenly, so we have to split it to 2 and 2. 2 2 3 5 x x

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9872 What factors of 72 will add to get 17? Factors of 72 1 * 72 2 * 36 3 * 24 4 * 18 6 * 12 8 * 9 -8 -9 - - 8 9 1 1 x x

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If the trinomial has a GCF, it needs to be removed first! 248 What factors of 8 will add to get 9? -8 - -11 24 x x Do NOT forget the 2 you pulled out at the beginning!

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2510 -10 - 11 2 5 x x y y Y’s go in the second column -

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3-8-24 Factors of 24 1 * 24 2 * 12 3 * 8 4 * 6 -4 6 - 3 14 2 x x y y

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C ONTACT I NFORMATION Jennifer Morgan jennmorgan05@gmail.com Christina Guynes chguynes@kisd.esc18.net

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