What is the first step in finding the location of holes in a rational function?

Factor the numerator and the denominator of the rational function.

What condition must be met by a factor in a rational function for it to indicate the presence of a hole?

The factor must appear in both the numerator and the denominator.

Set the common factor equal to zero and solve for x.

Substitute the x-coordinate into the simplified (reduced) form of the rational function.

Grade 10th Grade · Math · 70 min

I can identify the location of holes in rational functions.

Sky's the limit math · 5:07

Finding holes in rational functions

12 questions · Multiple choice & Short answer

Quick comprehension check

“Find the coordinates of the hole in the rational function f(x) = (x² - x - 6) / (x² - 4). Show all steps.”