For how many positive integers 1≤k≤1000 is the polynomial fk(x)=x^3+x+k irreducible?

Similar Questions

1. Find the last three digits of the sum of all positive integers n<1000, such that the polynomial fn(x)=x4+n is a product of two
   1. 4 answers
2. Let P(x) be a nonconstant polynomial, where all the coefficients are nonnegative integers. Prove that there exist infinitely
   1. 4 answers
3. The number 1000 can be written in several ways as a sum of one or more consecutive positive integers, for instance, 1000=1000
   1. 1 answer
4. avatarLet a, b, c, d be distinct positive integers such that {lcm}(a, b, c, d) < 1000 and a + b + c + d = 1000. Find the largest
   1. 1 answer

more similar questions