Remainder theorem is a theorem in algebra: if f(x) is a polynomial in x then the remainder on dividing f(x) by x-a is f(a).

In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is special case of the polynomial remainder theorem.

Solution:

From the question it is given that,

Remainder =

Let us assume that,

Now, substitute the value of in we get,

… [equation (i)]

Then,

… [equation (ii)]

Now, combining both equation (i) and equation (ii) we get,

Consider the equation (ii) to find out the value of m,

Therefore, the value of is and is