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Using the AC method to factor. When factoring x^2+bx+c, sometimes there can be many factors of c. Example: Factor. If you recall, if a =1 then we factor c and we look for the pairs of factors that sum to the middle term, b.

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Presentation Transcript
slide2

When factoring x^2+bx+c, sometimes there can be many factors of c

Example: Factor

If 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.

slide3

In this case, we want to find the factors of 442

Press the following sequence of buttons on your calculators

Y=, 442, /, x, 2nd, GRAPH

slide4

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.

slide5

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

slide6

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:

Multiply it out to make sure that it checks!

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