Using the AC method to factor
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Transcript of Using the AC method to factor
![Page 1: Using the AC method to factor](https://reader031.fdocuments.in/reader031/viewer/2022013115/568132ac550346895d99589e/html5/thumbnails/1.jpg)
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![Page 2: Using the AC method to factor](https://reader031.fdocuments.in/reader031/viewer/2022013115/568132ac550346895d99589e/html5/thumbnails/2.jpg)
When factoring x^2+bx+c, sometimes there can be many factors of c
Example: Factor 44292 xxIf you recall, if a =1 then we factor c and we look for the pairs of factors that sum to the middle term, b
So we want to find the factors of 442 that add up to -9. There are many factors of 442 so let’s use our calculator to help us.
![Page 3: Using the AC method to factor](https://reader031.fdocuments.in/reader031/viewer/2022013115/568132ac550346895d99589e/html5/thumbnails/3.jpg)
In this case, we want to find the factors of 442
Press the following sequence of buttons on your calculatorsY=, 442, /, x, 2nd, GRAPH
![Page 4: Using the AC method to factor](https://reader031.fdocuments.in/reader031/viewer/2022013115/568132ac550346895d99589e/html5/thumbnails/4.jpg)
You should see the following on your screen (before pressing 2nd GRAPH)
After pressing 2nd GRAPH you should see something like this:
If you don’t see this, then go to the next slide for trouble shooting. If you do see this, then skip the next slide.
![Page 5: Using the AC method to factor](https://reader031.fdocuments.in/reader031/viewer/2022013115/568132ac550346895d99589e/html5/thumbnails/5.jpg)
Press 2nd, then WINDOW
You should see the following
Set your independent to Auto, your table start at 0, and your triangle table = to 1v
Now press 2nd and then GRAPH
Then you should see what we got before
![Page 6: Using the AC method to factor](https://reader031.fdocuments.in/reader031/viewer/2022013115/568132ac550346895d99589e/html5/thumbnails/6.jpg)
Scroll down to look through the factors. We are looking for the pair that add OR subtracts to -9
The only pair that this can happen with is 17 and 26. Since we want it to add to -8, the factors should be -26 and +17
So therefore, our factors are: 2617 xx
Multiply it out to make sure that it checks!