Question 2
Find every integer $k$ for which there are infinitely many integers $n\ge3$ such that $$P_n(x)=x^{n+1}+kx^n-870x^2+1945x+1995$$ is a product of two integer-coefficient polynomials, each of degree at least one.
Essay grading is manual; the rubric is editorial. Importer multipliers: correct 1, incorrect 0, blank 0.
Essay grading is manual; the rubric is editorial. Importer multipliers: correct 1, incorrect 0, blank 0.