Mastering Quadratic Factoring with The Milligan Method
Unleash the power of The Milligan Method for factoring quadratics effectively. Dive into detailed examples and step-by-step instructions for factoring expressions like a pro. See how to identify the perfect factors to solve quadratic equations with precision. Elevate your algebra skills and conquer quadratic factoring challenges effortlessly!
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
The Milligan Method Here is another way to factor a quadratic. ***But always try GMF 1st!!*** 2 + + y y 5 24 1st term Last term 2 1y 1 1 multiply across 1st term Last term 2 1y -24 -8 -24 -6 These are not the factors that work. 1 1 3 4 multiply across - 6 + 4 -2 - 8 + 3 - 5 add these numbers this should be the middle term +5 close, but we need +5
2 + + y 5 24 y 1st term Last term 2 1y 1 1 multiply across 8 +-3 5 2 1y -24 -24 (1y (1y 8) 8 This works!! -3) -3 Put your parentheses and the variables in your answer. YES! (y + 8) (y - 3) Remember check using the FOIL method
2 3 14 24 a a 1st term. Last term 2 3a 1st term. Last term 2 3a -24 -24 -6 3 4 3 These are not the factors that work. This works!! 4 1 -6 1 multiply across -6 +12 6 multiply across 4 add these numbers this should be the middle term -14 +-18 -14 YES! 2 3a (3a + 4) (1a - 6) Put your parentheses and the variables in your answer. -24 (3a + 4) (a - 6) Remember check using the FOIL method
2 + + 4 20 25 w w 1st term Last term 2 4w 1st term Last term 2 4w +25 +25 -5 4 -5 2 These are not the factors that work. This works!! -5 1 -5 2 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) ( ( 2 w 2 4w (2w (2w +25 -5) -5) ) )2 5 Put your parentheses and the variables in your answer. Remember check using the FOIL method
2 + + 9 8 x 1st term. Last term 2 1x 1 x 1st term. Last term 2 1x 1 +8 -8 +8 -4 These are not the factors that work. This works!! 1 1 -1 -2 multiply across 8 +-20 -25 multiply across -5 +-20 -25 add these numbers this should be the middle term -9 +8 (x - 8) (x - 1) YES! 2 1x (x - 8) (x - 1) Put your parentheses and the variables in your answer. Remember check using the FOIL method
2 + + + + 4 24 35 x x 1st term. Last term 1st term. Last term 2 4x 2 4x 35 35 4 7 2 7 These are not the factors that work. This works!! 1 5 2 5 multiply across 7 +20 27 multiply across 14 + 10 24 this should be the middle term 24 YES! 2 4x 35 (2x + 7) (2x + 5) (2x +7) (2x +5) Remember check using the FOIL method Put your parentheses and the variables in your answer.
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.
