(Reverse FOIL). Factoring trinomials is one of the most important concepts in mathematics (and one...
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Transcript of (Reverse FOIL). Factoring trinomials is one of the most important concepts in mathematics (and one...
![Page 1: (Reverse FOIL). Factoring trinomials is one of the most important concepts in mathematics (and one of my favorite things to do)! Think of factoring.](https://reader036.fdocuments.in/reader036/viewer/2022082600/5a4d1af57f8b9ab0599815c5/html5/thumbnails/1.jpg)
Factoring
(Reverse FOIL)
![Page 2: (Reverse FOIL). Factoring trinomials is one of the most important concepts in mathematics (and one of my favorite things to do)! Think of factoring.](https://reader036.fdocuments.in/reader036/viewer/2022082600/5a4d1af57f8b9ab0599815c5/html5/thumbnails/2.jpg)
Factoring trinomials is one of the most
important concepts in mathematics (and one of my favorite things to do)!
Think of factoring as taking a puzzle apart. There are some very simple rules:
There is only one way to get x2 x * x The sign on the third term helps determine the
signs of each factor. The sign of the second term tells you the sign of
the largest factor.
Factoring
![Page 3: (Reverse FOIL). Factoring trinomials is one of the most important concepts in mathematics (and one of my favorite things to do)! Think of factoring.](https://reader036.fdocuments.in/reader036/viewer/2022082600/5a4d1af57f8b9ab0599815c5/html5/thumbnails/3.jpg)
x2 + 8x + 15 (x )(x )
(x + )(x + )
3 * 5 = 15 and 3 + 5 = 8 (x + 3)(x + 5)
*Check you answer using FOIL!
Factoring1. How do you get x2?
2. The sign on 15 is positive so both factors must be the same.
3. What can I multiply to get 15 and add to get 8?
If the 3rd term is positive, the signs are the same.If the 3rd term is negative, the signs are different.
![Page 4: (Reverse FOIL). Factoring trinomials is one of the most important concepts in mathematics (and one of my favorite things to do)! Think of factoring.](https://reader036.fdocuments.in/reader036/viewer/2022082600/5a4d1af57f8b9ab0599815c5/html5/thumbnails/4.jpg)
Try again. x2 + 9x – 10
(x + 10)(x – 1)
Try this one: x2 + 7x + 12
(x + 3)(x + 4)
Factoring
Remember, if the 3rd term is negative the signs are different!!
The largest factor has to be positive because the 2nd term is positive.
![Page 5: (Reverse FOIL). Factoring trinomials is one of the most important concepts in mathematics (and one of my favorite things to do)! Think of factoring.](https://reader036.fdocuments.in/reader036/viewer/2022082600/5a4d1af57f8b9ab0599815c5/html5/thumbnails/5.jpg)
See if you can do these. Check your answers
with the person sitting next to you.1. x2 – 4x + 4 2. x2 – 11x – 26
3. x2 + 21x + 108 4. x2 + 5x – 14
5. x2 – 11x + 24 6. x2 + 2x - 15
Factoring
![Page 6: (Reverse FOIL). Factoring trinomials is one of the most important concepts in mathematics (and one of my favorite things to do)! Think of factoring.](https://reader036.fdocuments.in/reader036/viewer/2022082600/5a4d1af57f8b9ab0599815c5/html5/thumbnails/6.jpg)
How did you do?? 1. (x – 2)(x – 2) 2. (x – 13)(x + 2) 3. (x + 9)(x + 12)4. (x – 2)(x + 7) 5. (x – 8)(x – 3) 6. (x – 3)(x + 5)
Factoring
![Page 7: (Reverse FOIL). Factoring trinomials is one of the most important concepts in mathematics (and one of my favorite things to do)! Think of factoring.](https://reader036.fdocuments.in/reader036/viewer/2022082600/5a4d1af57f8b9ab0599815c5/html5/thumbnails/7.jpg)
Just remember the simple rules. Don’t get stressed out. This is fun!! Practice makes perfect in factoring! Come see me for tutorials if you need help!!
Factoring