Find the number of integer solutions less than $5$ that satisfy the inequality $$(x^ 3 + 4x 2 )(x^ 2 − 3x − 2) ≤ (x^ 3 + 4x 2 )(2x^ 2 − 6).$$
Factoring
$$(x^2)(x+4)^2(x-1)$$
possible integers are $(-4,0,1,2,3,4)$ but $6$ is not in the choices, where did I go wrong?
