As we'll see, it's gonna be the same number of real roots, or the same number of real zeros we have. And then they want us to figure out the smallest of those x-intercepts, and we'll figure it …

A zero in the numerator does not create a vertical asymptote. Maybe you are confusing numerator with denominator? The value (s) where the denominator becomes zero are the vertical …

Given a rational function, sort given input values according to zeros, vertical asymptotes, and removable discontinuities.

What you will learn in this lesson This lesson will introduce you to rational expressions. You will learn how to determine when a rational expression is undefined and how to find its domain.

Use various methods in order to find all the zeros of polynomial expressions or functions.

Divide one polynomial by another, and what do you get? A rational function! We'll analyze the family of rational functions, and we'll see some examples of how they can be useful in …

Finding exact roots of a polynomial is, in general, a genuinely hard problem. After polynomials came into popular use, it was about 300 years before we had a decent set of tools for finding …

This video explores the specific example f (x)= (3x^2-18x-81)/ (6x^2-54) before generalizing findings to all rational functions. Don't forget that not every zero of the denominator is a vertical …

Sal analyzes two rational functions to find their vertical asymptotes & removable discontinuities. He distinguishes those from the zeros of the functions.

This topic covers: - Adding, subtracting, and multiplying polynomial expressions - Factoring polynomial expressions as the product of linear factors - Dividing polynomial expressions - …