Question: Let p(x) be a nonzero polynomial of degree less than 1992 having no non constant factor in common with x 3 - x. Let for

Let p(x) be a nonzero polynomial of degree less than 1992 having no non constant factor in common with x3 - x. Let


(x)d 2661P dx-1992 1. x = g(x)


for polynomials f (x) and g(x). Find the smallest possible degree of f (x).

(x)d 2661P dx-1992 1. x = g(x)

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