Zeros, Undefined Points, and Holes in Rational Functions

We show several examples of finding undefined points associated with rational functions by looking for x-values that make factors in the denominator equal to zero. We also discuss how to find zeros of rational functions by looking for x-values that make factors in the numerator equal to zero. If a factor, say (x-A) appears in both the numerator and denominator of a rational function, there will be a hole in the function with an x-coordinate of A. This video should be particularly helpful for students in algebra 2 and precalculus.

[@beaverbuoy3011]

Great video!

[@isaaccezar3511]

I just had a class on this subject today! Great video!

[@dr.piercesphysicsmath9071]

Terrific!

[@imkaun]

If the same factor is there in both numerator and denominator, in this case , the function has a hole