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MORE FACTORING

Discover the Milligan Method for factoring quadratics effectively. This presentation introduces a systematic approach to factor quadratic expressions using examples and the FOIL method for verification. It emphasizes the importance of checking factors to ensure they meet the middle term requirement. This resource enhances comprehension of factoring strategies, making it accessible for students and educators alike, promoting a deeper understanding of polynomial equations.

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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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