Polynomials and Nonlinear Functions

More Specific Topics in Polynomials and Nonlinear Functions

Popular Tutorials in Polynomials and Nonlinear Functions

How Do You Graph an Absolute Value Function?

Graphing an absolute value equation can be complicated, unless you know how to dissect the equation to find and use the slope and translations. Follow along as this tutorial shows you how to identify the necessary parts of the equation and use them to graph the absolute value equation.
What Does the Constant 'k' do in y = |x|+k?

When you're learning about translating absolute value equations, learning about vertical translations is a MUST! Check out this tutorial and see what it takes to translate an absolute value equation vertically.
What Does the Constant 'h' do in y = |x-h|?

When you're learning about translating absolute value equations, learning about horizontal translations is a MUST! Check out this tutorial and see what it takes to translate an absolute value equation horizontally.
What is an Absolute Value Function?

An absolute value function is just a function that contains absolute values. This tutorial gives a great introduction to this very useful function!
How Do You Graph an Exponential Function Using a Table?

Graphing an exponential function? No sweat! Create a table of values to give you ordered pairs. Then, plot those ordered pair on a coordinate plane and connect the points to make your graph! Follow along with this tutorial as it shows you all the steps.
How Do You Add Polynomials?

To add polynomials of any size, just group like terms and then combine them together. To see it done step-by-step, watch this tutorial!
How Do You Multiply Binomials Using the Distributive Property?

Multiplying together two binomials? Not a fan of the FOIL method, or just want to see another way? Check out this tutorial! You'll see how to distribute one binomial into the other in order to find the product. You get the same answer no matter which method you use, so be sure to add this method to your arsenal!
How Do You Solve a Word Problem with Exponential Growth?

If something increases at a constant rate, you may have exponential growth on your hands. In this tutorial, learn how to turn a word problem into an exponential growth function. Then, solve the function and get the answer!
How Do You Solve a Word Problem with Exponential Decay?

If something decreases in value at a constant rate, you may have exponential decay on your hands. In this tutorial, learn how to turn a word problem into an exponential decay function. Then, solve the function and get the answer!
How Do You Use the Formula for the Product of a Sum and a Difference?

Finding the product of two binomials with the same terms and opposite signs? You're finding the product of a sum and a difference! Use the formula for the product of a sum and a difference to quickly find the answer! This tutorial shows you how.
How Do You Determine if a Sequence is Arithmetic or Geometric?

You have a pattern in your sequence. Great! Think it might be an arithmetic or geometric sequence? If the sequence has a common difference, it's arithmetic. If it's got a common ratio, you can bet it's geometric. Practice identifying both of these sequences by watching this tutorial!
How Do You Write a Rule for a Geometric Sequence?

Trying to find the value of a certain term in a geometric sequence? Use the formula for finding the nth term in a geometric sequence to write a rule. Then use that rule to find the value of each term you want! This tutorial takes you through it step-by-step.
How Do You Solve a Word Problem Using an Exponential Function?

Word problems let you see math in the real world! This tutorial shows you how to create a table and identify a pattern from the word problem. Then you can see how to create an exponential function from the data and solve the function to get your answer!
What's an Exponential Function?

Looking at an equation with a variable in the exponent? You have an exponential function! Learn about exponential functions in this tutorial.
What is Exponential Growth?

Exponential functions often involve the rate of increase or decrease of something. When it's a rate of increase, you have an exponential growth function! Check out these kinds of exponential functions in this tutorial!
What is exponential decay?

Exponential functions often involve the rate of increase or decrease of something. When it's a rate of decrease, you have an exponential decay function! Check out these kinds of exponential functions in this tutorial!
What is the Formula for the nth Term in a Geometric Sequence?

Trying to find the value of a certain term in a geometric sequence? Don't want to go through the terms one-by-one to find the one you want? Use the formula to find the nth term in a geometric sequence! This tutorial shows you how find that formula!
How Do You Find the Common Difference in an Arithmetic Sequence?

Trying to find the common difference in an arithmetic sequence? You need to figure out what number you need to add to each term to get the next term in the sequence. It's easier than you might think! Watch this tutorial and learn how to find the common difference in an arithmetic sequence.
How Do You Find the Next Terms in an Arithmetic Sequence?

To find the next few terms in an arithmetic sequence, you first need to find the common difference, the constant amount of change between numbers in an arithmetic sequence. Once you know the common difference, you can use it to find those next terms! This tutorial takes you through that process, so be sure to check it out!
How Do You Find the Nth Term in an Arithmetic Sequence?

Got an arithmetic sequence? Trying to find a later term in that sequence? Don't want to keep adding the common difference to each term until you get to the one you want? Then use the equation for the nth term in an arithmetic sequence instead! This tutorial will show you how!
What's an Arithmetic Sequence?

See a pattern in a sequence? It might be an arithmetic sequence! Learn about arithmetic sequences by watching this tutorial.
What's the Common Difference?

Did you know that the constant you add to a term in an arithmetic sequence to get the next term has a name? It's called a common difference! This tutorial is a great way to learn more about the common difference of an arithmetic sequence.
What's a Sequence?

Got a set of numbers? Are they in a particular order? If so, then you have a sequence! Take a look at sequences by watching this tutorial.
What's a Term in a Sequence?

When you're looking at a sequence, each value in that sequence is called a term. This tutorial explains the definition of the term of a sequence. Take a look!
Where Does the Formula for a Term in an Arithmetic Sequence Come From?

Trying to find the value of a certain term in an arithmetic sequence? Don't want to go through the terms one-by-one to find the one you want? Use the formula to find the nth term in an arithmetic sequence! This tutorial shows you how find that formula!
How Do You Make a Table for a Quadratic Function?

When you're trying to graph a quadratic equation, making a table of values can be really helpful. To figure out what x-values to use in the table, first find the vertex of the quadratic equation. That way, you can pick values on either side to see what the graph does on either side of the vertex. To see how to make a table of values for a quadratic equation, check out this tutorial!
How Do You Graph a Quadratic Function?

When you're trying to graph a quadratic equation, making a table of values can be really helpful. Before you make a table, first find the vertex of the quadratic equation. That way, you can pick values on either side to see what the graph does on either side of the vertex. Watch this tutorial to see how you can graph a quadratic equation!
What is the Vertex of a Quadratic Function?

Each quadratic equation has either a maximum or minimum, but did you that this point has a special name? In a quadratic equation, this point is called the vertex! Take a look at the vertex of a quadratic equation by watching this tutorial.
What is a Parabola?

If you graph a linear function, you get a line. If you graph a quadratic function, you get something called a parabola. A parabola tends to look like a smile or a frown, depending on the function. Check out this tutorial and learn about parabolas!
What is a Quadratic Function?

You can't go through algebra without seeing quadratic functions. The graphs of quadratic functions are parabolas; they tend to look like a smile or a frown. In this tutorial, get introduced to quadratic functions, look at their graphs, and see some examples of quadratic functions!
How Do You Solve a Word Problem Using Inverse Variation?

If two things are inversely proportional, you can bet that you'll need to use the formula for inverse variation to solve! In this word problem, you'll see how to use the formula for inverse variation to find the constant of inverse variation and then solve for your answer.
What's the Inverse Variation or Indirect Proportionality Formula?

Ever heard of two things being inversely proportional? Well, a good example is speed and time. The bigger your speed, the less time it takes to get to where you are going. So when one variable is big, the other is small, and that's the idea of inverse proportionality. But you can express inverse proportionality using equations, and that's an important thing to do in algebra. See how to do that in the tutorial!
How Do You Use the Formula for Inverse Variation to Write an Equation?

If two things are inversely proportional, you can bet that you'll need to use the formula for inverse variation to solve! In this tutorial, you'll see how to use the formula for inverse variation to find the constant of inverse variation and then solve for your answer.
How Do You Subtract Polynomials?

Subtracting polynomials? No problem! Just distribute the negative sign to the second polynomial and then combine like terms. Watch this tutorial to see how it's done!
How Do You Find the Volume of a Box Whose Sides are Monomials?

This tutorial shows you how to find the volume of a box. The fun part? The measurement of each side is a monomial! Watch this tutorial to see how to find the product of three monomials.
How Do You Solve a Word Problem by Multiplying Binomials?

Word problems allow you to see the real world uses of math! In this tutorial, learn how to find the area of a quilt using binomials as the measurement of each side. Use the FOIL method to multiply those binomials together and get your answer!
How Do You Multiply Binomials Using FOIL?

Looking for practice using the FOIL method? This tutorial delivers! It takes you step-by-step through the FOIL method as you multiply together to binomials.
How Do You Find the Area of a Rectangle Whose Sides are a Monomial and a Polynomial?

Word problems allow you to see the real world uses of math! In this tutorial, learn how to find the area of a garden using polynomials as the measurement of each side.
How Do You Multiply a Monomial by a Polynomial?

Multiplying a monomial by a trinomial? Apply the distributive property! See how it's done by watching this tutorial.
How Do You Solve a Word Problem by Subtracting Polynomials?

Word problems let you see math in action! This tutorial deals with the measurements of the sides of a picture frame. The fun part? The measurements are polynomials! Check it out!
How Do You Find the Degree of a Monomial?

Monomials are just math expressions with a bunch of numbers and variables multiplied together, and one way to compare monomials is to keep track of the degree. So what's a degree? Well, if you've ever wondered what 'degree' means, then this is the tutorial for you.
What is a Polynomial?

If you learn about algebra, then you'll see polynomials everywhere! In this tutorial, you'll learn the definition of a polynomial and see some of the common names for certain polynomials.
What's the Formula for the Square of a Sum?

Comes in handy when you're factoring, and this tutorial will show you how to square like a pro!
What's the Formula for the Square of a Difference?

Comes in handy when you're factoring, and this tutorial will show you how to square like a pro!
What's the Formula for the Product of a Sum and a Difference?

Multiplying monomials like (a + b) and (a - b) is really important when it comes to factoring, so if you want to get good at factoring, you're going to have to understand how to multiply a sum like (a + b) with a difference like (a - b)!
What's FOIL?

The FOIL method. No, not aluminum foil! The FOIL method stands for First, Outer, Inner, and Last. It's a popular way multiply two binomials together. This tutorial makes the FOIL method a breeze!
What's the Grid Method of FOILing?

Ever played tic-tac-toe? Well this method of multiplying two polynomials together revisits that game! In this tutorial, you'll see a fun alternative to the FOIL method. Learn how to set up a tic-tac-toe grid and use it to find the product of two polynomials!
What's the Standard Form of a Polynomial?

In order for a polynomial to be in standard form, two rules must be met. Learn about the standard form of a polynomial by watching this tutorial!
What is a Term in a Polynomial?

Polynomials are those expressions that have variables raised to all sorts of powers and multiplied by all types of numbers. When you work with polynomials you need to know a bit of vocabulary, and one of the words you need to feel comfortable with is 'term'. So check out this tutorial, where you'll learn exactly what a 'term' in a polynomial is all about.
How Do You Find the Degree of a Polynomial?

Terms and polynomials can't run a fever, but they do have degrees! This tutorial will tell you all about the degree of a term and of a polynomial and will show you how to find it!
How Can You Tell If You Have a Linear Equation?

Trying to figure out if an equation is a linear equation? Well, can you write it in standard form? If you can, then it's a linear equation. See this process in action by watching this tutorial!
How Do You Add Polynomials Vertically?

Want to see how to add two polynomials vertically? Then this tutorial is for you! In this tutorial, you'll see the steps you need to follow in order to add polynomials vertically.
How Do You Subtract Polynomials Vertically?

Want to see how to subtract two polynomials vertically? Then this tutorial is for you! In this tutorial, you'll see the steps you need to follow in order to subtract polynomials vertically.
How Do You Find the Additive Inverse of a Polynomial?

Two polynomials area additive inverses if they are opposites of each other. In this tutorial, you'll see how to find the additive inverse of a given polynomial. Take a look!
How Can You Tell if a Function is Linear or Nonlinear From a Graph?
How Can You Tell if a Function is Linear or Nonlinear From a Table?

To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function! This tutorial shows you how to tell if a table of values represents a linear function.
What is a Cubic Function?

Cubic functions are just one type of function youâ€™ll see in math. This tutorial introduces you to cubic functions, shows you some examples and graphs, and explains the parent function of cubic functions. Check out this tutorial to learn about cubic functions!