Question 32
Determine whether there is a polynomial $f(x)$ such that
- Every coefficient of $f$, from the leading coefficient down to the constant term, is either $1$ or $-1$.
- $(x-1)^{2013}$ evenly divides $f(x)$ (this means that their quotient is a polynomial).
- Every coefficient of $f$, from the leading coefficient down to the constant term, is either $1$ or $-1$.
- $(x-1)^{2013}$ evenly divides $f(x)$ (this means that their quotient is a polynomial).