I do not quite understand the question so I don't know where to start from.The cubic polynomial is such that the coefficient of is and the roots of are , and , where . It is given that has a remainder of when divided by (x - 1).

Show that

I only know that

Does 'root' here mean factor?

Would that mean that ? But that doesn't make much sense to me because I don't see how has any connection with anything.

I'm sorry for the silly question and any help would be really really appreciated. Thank you in advance.