Let ƒ (x) be a monic polynomial with integer coefficients. We say that ƒ (x) is intersective if ƒ (x) does not have an integer root but do have a root modulo m for all m ∈ ℕ. In this work, we study intersective polynomials of the form (x³-n)(x² +3 ͭ) and (x³- n)(x²+3m²) where n is a cubic free positive integer, t odd and m is an integer.
