If `x-c` is a factor of order m of the polynomial `f(x)` of degree n `(1 < m < n)`, then find the polynomials for which `x=c` is a root.

Explanation

From the given information we have `f(x) = (x - c).^(m)g(x)`
where g(x) is a polynomial of degree n - m . Then x = c is a common root for equation `f(x) = 0, f^(1) (x) = 0,f^(2) = 0, …, f^(m-1) (x) = 0` represents rth derivative of `f(x) w.r.t.x.`