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.

In this case, we want to find the factors of 442 Press the following sequence of buttons on your calculators Y=, 442, /, x, 2 nd, GRAPH

You should see the following on your screen (before pressing 2 nd GRAPH) After pressing 2 nd 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.

Press 2 nd, 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 2 nd and then GRAPH Then you should see what we got before

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!