MORE FACTORING

The Milligan Method Here is another way to factor a quadratic. -24 -24 ***But always try GMF 1st!!*** 1st term Last term 1st term Last term -24 -24 These are not the factors that work. 1 -8 3 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

Put your parentheses and the variables in your answer. 1st term Last term -24 -24 (1y 8) -3) 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

-24 (3a + 4) (a - 6) (3a + 4) (1a - 6) 1st term. Last term -6 4 3 1 4 -6 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 010607b RADICALS: Solving Radicals (3a + 4) (a - 6) (3a + 4) Remember check using the FOIL method (1a - 6) Put your parentheses and the variables in your answer. 4

(2w - 5) (2w - 5) +25 +25 +25 1st term Last term 1st term Last term -5 4 1 -5 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

(x - 8) (x - 1) (x - 8) (x - 1) 1st term. Last term +8 +8 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

(2x + 7) (2x + 5) 35 35 35 1st term. Last term 1st term. Last term 4 1 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 010305x RADICALS: Solving Radicals (2x +7) +5) (2x + 7) (2x + 5) Put your parentheses and the variables in your answer. Remember check using the FOIL method 7

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.