Struggling with rational functions? Here are all of the tutorials I’ve made about rational functions. These posts should help point you in the right direction!
Now that you’ve mastered the basics of graphing rational functions, let’s get into some of the complicated details. Today we’ll discuss slant asymptotes and holes in the graph.
This post is a summary of all of the polynomial tutorials on this site, put into an annotated order. This is your go-to place for learning about polynomials!
Now that we’ve got an idea about how to sketch factored polynomials, taking into account the end behavior and the crosses, bounces, and slides at the x-axis, let’s figure out how to deal with polynomials that start out in standard (un-factored) form.
When I learned how to sketch polynomials I felt like I had gained a superpower. For some reason it always struck me as such a neat thing to be able to do. As they say, with great power comes great responsibility, so I am responsibly sharing my superpower with you!
Today let’s work on graphing quadratic functions. A quadratic function is a quadratic equation where instead of 0 on one side of the equals sign, you have or . Remember: every point on a graph is an x, y pair that makes the function equation true. For purposes of demonstration, let’s use this function: First …
Three methods for solving quadratic equations: the quadratic formula (and a song!), using the zero product property, and using the square root method. Learn about all three techniques in this post!
“Completing the Square” is an algebra skill that you will need to use when you’re playing with quadratics, circles, and (other) conic sections. Once you get the hang of it it’s no big deal, but it can be a bit mystifying until then. Let’s clear it up, and then for a bonus, I’ll show you were the quadratic formula comes from.
The skill of factoring comes up again and again in math classes. There are easy ways to factor, and hard ways to factor; let’s make sure you know the easy ways! Basic factoring: Basic factoring is an investigation into what a collection of terms has in common. If all of the terms in an expression have a …
To play with polynomials it’s essential to have the right vocabulary. Today we’ll define term, coefficient, variable, degree, polynomial, standard form, leading coefficient, constant term, monomial, binomial, and trinomial.