24sir that wasnt my doubt....this question was for all the juniors to solve.....[3][3][3]
so can u plzz delete ur post(which is absolutely perfect proof) to give juniors a fair try...[1][1]
Suppose that f (x) is a polynomial with real coefficients and a is a real number with f (a) ≠0.Show that there exists a polynomial g(x) such that if we define another polynomial
p(x) = f (x). g(x), then the following are true:
p(a) = 1,
p'(a) = 0,
p''(a) = 0.
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