Posted by **GT** on Wednesday, July 10, 2013 at 10:59am.

For every positive integer n, consider all monic polynomials f(x) with integer coefficients, such that for some real number a

x(f(x+a)−f(x))=nf(x)

Find the largest possible number of such polynomials f(x) for a fixed n<1000.

Details and assumptions

A polynomial is monic if its leading coefficient is 1. For example, the polynomial x3+3x−5 is monic but the polynomial −x4+2x3−6 is not.

## Answer This Question

## Related Questions

- heeeeeeelp math - For every positive integer n, consider all monic polynomials f...
- Math (algebra) - For every positive integer n, consider all monic polynomials f(...
- heeeeeeeeelp math - For every positive integer n consider all polynomials f(x) ...
- heeeeeelp math - For every positive integer n, consider all polynomials f(x) ...
- heeeeeeelp math3 - For every positive integer n consider all polynomials f(x) ...
- math - For every prime p consider all polynomials f(x) with integer coefficients...
- math - For every prime p consider all polynomials f(x) with integer coefficients...
- heeeelp math - Find the number of polynomials f(x) that satisfy all of the ...
- heeelp math2 - Find the number of polynomials f(x) that satisfy all of the ...
- heeeelp math - Find the largest possible number of distinct integer values {x_1,...

More Related Questions