Hi this is the question, I have no idea how to solve it so help would be appreciated.
Q: When a polynomial is dived by (2x+1)(x-3), the remainder is 3x -1. What is the remainder when the polynomial is divided by 2x + 1?
Please, help would be tremendously appreciated. Please show working out, and WHY you must do that working out.
Thank you very much everyone.
[QUOTE=Archie Meade;580044]Just have a think about this.
The polynomial has a remainder when divided by
If
No, but 3x-1 is the remainder not a factor. So P(x) = Q(x).(2x+1)(x-3) + 3x -1. The question is asking what is the remainder if it is P(x)/2x+1, so P(x)=Q(x).(2x+1) + ......... Now the ......... is what must be found. I know its something to do with the remainder theorem but I don't know how to use it.
Thanks anyways.