A problem about differentiability

1 reply · 2K views · last reply
rasi
Messages
18
Reaction score
0
i need your helps. thanks for everything.
Textbook problem 5.6.14: p(x) is a nontrivial polynomial of degree less than 2004 with no nonconstant factor in common with x^3 - x. The 2004th derivative of p(x)/(x^3 - x) equals f(x)/g(x), where f and g are polynomials. Find the least possible degree of f(x).