### Home > PC3 > Chapter 4 > Lesson 4.2.3 > Problem 4-100

4-100.

State the coordinates of any holes and the equations of any asymptotes for the graph of the function

Factor completely:

HOLES or VERTICAL ASYMPTOTES occur when the denominator is where a hole occurs because the factor divides evenly into the numerator.

*is a vertical asymptote because the factor does not divide evenly into the numerator.*

If you were to rewrite this equation using polynomial division, what would the "whole" term(s) be? This will tell you the horizontal or slant asymptote.