Let p ( x ) be a nonzero polynomial of degree less than 1992 having no nonconstant factor in common with x 3 − x . Let d 1992 d x 1992 ( p ( x ) x 3 − x ) = f ( x ) g ( x ) for polynomials f ( x ) and g ( x ) . Fund the smallest possible degree of f ( x ) .
Solution Summary: The author explains how to calculate the smallest possible degree of f(x).
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