Hi, I need help with this question:
Factor the expressions px^3 + (p-q)x^2 + (-2p-q)x + 2q and abx^3 + (a-2b-ab)x^2 + (2b-a-2)x + 2
I've tried a few different ways, but none of them work out. Thank you for any help!
i was just about to make that suggestion
i noticed almost immediately that x - 1 was a factor by the factor theorem. performing long division twice will get you the answer you have
coincidentally, (x - 1) is a factor of the second one as well
janvdl's method is still easiest by far though. just make sure you factor correctly. factoring out a -q from the second set changes all the signs inside the bracket
EDIT: Good Job Janvdl. You are the best mathematician in this post!