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If x-c is a factor of order m of the pol...

If `x-c` is a factor of order `m` of the polynomial `f(x)` of degree `n(1

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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.`
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