Hello ipokeyouThe remainder when any polynomial in is divided by a quadratic in will be a linear expression in : (where either or both of and may be zero); in other words the remainder will be of degree at most 1.

When it is divided by a linear expression, the remainder will be a constant term (which, again, may be zero).

So let's suppose that the polynomial is and that the quotient when it is divided by is . Then, since we know that the remainder is , we can write:which we can write as:Now when this expression is divided by the quotient will be the polynomial , and the remainder will be . So there's your answer: .

Grandad