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MORE FACTORING

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Learn how to factor quadratics efficiently with the Milligan Method, a step-by-step approach for finding the correct factors. Follow the guidelines provided to factor quadratic equations accurately and efficiently. Check out this detailed guide with examples to master factoring quadratics.

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MORE FACTORING

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  1. MORE FACTORING

  2. The Milligan Method • Here is another way to factor a quadratic. ***But always try GMF 1st!!*** 1st term Last term 1st term Last term -24 -24 These are not the factors that work. 1 1 -8 3 1 1 -6 4 multiply across multiply across - 8 + 3 - 5 - 6 + 4 -2 add these numbers this should be the middle term +5 close, but we need +5

  3. 1st term Last term -24 -24 (1y (1y 8) -3) 1 1 8 -3 This works!! multiply across Put your parentheses and the variables in your answer. 8 +-3 5 YES! (y + 8) (y - 3) Remember check using the FOIL method

  4. 1st term. Last term 1st term. Last term -24 -24 -6 4 3 1 4 -6 3 1 These are not the factors that work. This works!! multiply across multiply across -6 +12 6 4 +-18 -14 add these numbers this should be the middle term -14 YES! -24 (3a + 4) (a - 6) (3a + 4) Remember check using the FOIL method (1a - 6) Put your parentheses and the variables in your answer.

  5. 1st term Last term 1st term Last term +25 +25 -5 -5 4 1 -5 -5 2 2 These are not the factors that work. This works!! multiply across multiply across -5 +-20 -25 add these numbers -10 +-10 -20 this should be the middle term -20 YES! (2w - 5) (2w - 5) +25 (2w -5) (2w -5) Put your parentheses and the variables in your answer. Remember check using the FOIL method

  6. 1st term. Last term 1st term. Last term +8 +8 1 1 1 1 -8 -1 -4 -2 These are not the factors that work. This works!! multiply across multiply across 8 +-20 -25 add these numbers -5 +-20 -25 this should be the middle term -9 YES! +8 (x - 8) (x - 1) (x - 8) (x - 1) Put your parentheses and the variables in your answer. Remember check using the FOIL method

  7. 1st term. Last term 1st term. Last term 35 35 4 1 7 5 2 2 7 5 These are not the factors that work. This works!! multiply across multiply across 7 +20 27 14 + 10 24 this should be the middle term 24 YES! 35 (2x (2x +7) +5) (2x + 7) (2x + 5) Put your parentheses and the variables in your answer. Remember check using the FOIL method

  8. This powerpoint was kindly donated to www.worldofteaching.com http://www.worldofteaching.com is home to over a thousand powerpoints submitted by teachers. This is a completely free site and requires no registration. Please visit and I hope it will help in your teaching.

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