For how many positive integers $1 \leq k \leq 1000$ is the polynomial $f_k(x)=x^3+x+k$ irreducible?

**Details and assumptions**

A polynomial with integer coefficients is called **reducible** if it equals to a product of two non-constant polynomials with integer coefficients. Otherwise, it is called **irreducible**.

×

Problem Loading...

Note Loading...

Set Loading...