- #1

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## Homework Statement

Let f(x) be a pllynomial of degree n, an odd positive integer, and has monotonic behaviour then the number of real roots of the equation

f(x)+ f(2x) + f(3x)...+ f(nx)= n(n+1)/2

## Homework Equations

## The Attempt at a Solution

This seems like the summation of 1+2+3+...+n, and that would be a root of the equation, but I don't know if that's the only one.