in which situation would you most likely factor out - 1 from a trinomial?

I would Go With Polynomial But If That Dont Fit In With The Situation Try Out Other Functions : D

Whenever you're approached with equations as such, you first should see if you're able to factor out; see what they all have in common (from individual numerator then denominator). In this case, you're able to factor out an x value for the numerator, and a 2 for the denominator. (x (x2 + 7x-6)) / (2 (3 x2 + 7x-4)) Then, since nothing still cancels out, you should see if its possible to reduce that trinomial into 2 binomials. If you're able to (which you most likely are), cancel out anything that can be, example: (x-2) / (x/2) cancels.