Identify all asymptotes of the graph of $y = \frac{(x - 1)}{(x - 1)^3 (x + 2)(x - 4)}$.
We have a lower power polynomial in the numerator than in the denominator......thus....we have a horizontal asymptote at y = 0
Any value of x that makes the denominator = 0 will produce a vertical asymptote
These values are x = 1 , x = -2 and x = 4
See the graph here : https://www.desmos.com/calculator/83yexvcw5l