I have the process down pretty well but what I'm struggling with is when to change signs and exactly why.
For example: x^6 -13x^3 +42 divided by x^3 -7
I came up with X^3 +6 but in fact the answer is x^3 -6.
I have no problem writing out the entire problem if necessary but I don't want to make anyone do any laborious work in order to help out if it can be avoided.
Is there a straightforward answer that can be given as to when and why you change the signs?
Thank you in advance. Your help is greatly appreciated.