The polynomial

has a remainder of 2 when divided by

and a remainder of 3, when divided by

. The remainder when

is divided by

is

, i.e.

can be written as

Find a and b.

Well I got this already a= 1 and b=1

but the second question I don't know what to do...

Given that

is a cubic polynomial with coefficient of

being 1, and −1 is a solution of the equation

, find

.

I'm not too sure how to start... If -1 is a solution of the question when

that means

must be a factor right? I don't know what to do from here...

All replies are appreciated