I'm abit confused with these two things. Firstly, I was taught this quick shortcut for dividing polynomials (although I struggle with using it for dividing by non-linear factors). I'll try explain it and see if anyone can help me with it.
To do it, using this example:
I write out the (x + 1) five times (since highest power is 5) and to make it like this:
(x + 1) (x + 1) (x + 1) (x + 1) (x + 1)
Then I'd go: is the first number, since that's what needed to do the first power. That would leave left. Then I'd need to get to so my equation would now look like:
Then so on until i get to:
and then I can factor to find solution is
Dunno if anyone else knows that method. But if so, how would I do it if there was a remainder? Also, how could I use this to divide by non linear factors (ie: which has a remainder when it is is divided by it)
Also, I was wondering. with that above question (find remainder when is divided by ), how could I use the remainder thereom with it? Is it possible?