Ch 31: ACT Math: Polynomials and Quadratics

About This Chapter

Let us help you prepare for polynomial and quadratics questions on the math section of the ACT exam. Watch short, engaging video lessons and complete self-assessment quizzes to review for test day.

ACT Math: Polynomials and Quadratics - Chapter Summary

Our short video lessons address the essential algebraic concepts of polynomials and quadratics in an easy-to-understand manner. Get ready for ACT math questions related to adding, subtracting and multiplying polynomials, among other topics. The lessons in this chapter also address the following areas:

  • Multiplying binomials with the area method and FOIL
  • Factoring and solving quadratic equations
  • Completing the square
  • Evaluating a polynomial in function notation
  • Understanding and transforming basic polynomial graphs
  • Solving quadratic inequalities

In addition to the lessons, you'll have access to quizzes giving you more practice with multiplying binomials, quadratic equations and completing the square. Once you've completed the quizzes, you'll know if you need any further review.

12 Lessons in Chapter 31: ACT Math: Polynomials and Quadratics
Test your knowledge with a 30-question chapter practice test
How to Evaluate a Polynomial in Function Notation

1. How to Evaluate a Polynomial in Function Notation

This lesson will review how to evaluate polynomials in function notation. Along with an analogy to explain the process, examples will be given and worked during the lesson.

Understanding Basic Polynomial Graphs

2. Understanding Basic Polynomial Graphs

This lesson will cover understanding basic polynomial graphs. The lesson focuses on how exponents and leading coefficients alter the behavior of the graphs.

Basic Transformations of Polynomial Graphs

3. Basic Transformations of Polynomial Graphs

The basic transformations for a graph are movement up and down, left and right, pinched or stretched graphs, and flipped graphs. This lesson will review how to accomplish each of these transformations.

How to Add, Subtract and Multiply Polynomials

4. How to Add, Subtract and Multiply Polynomials

Adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about, but this video will show you that's no problem, so no worries! This method has worked for many of my students, and I think it will work for you, too!

Multiplying Binomials Using FOIL & the Area Method: Practice Problems

5. Multiplying Binomials Using FOIL & the Area Method: Practice Problems

There are a few mistakes that are easy to make when multiplying binomials with FOIL and also a few ways to complicate problems like this, so why not make sure you're brushed up on your skills? You'll also learn a shortcut and how to use the area method to multiply even bigger polynomials.

Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient

6. Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient

Once you get good at factoring quadratics with 1x squared in the front of the expression, it's time to try ones with numbers other than 1. It will be the same general idea, but there are a few extra steps to learn. Do that here!

How to Factor Quadratic Equations: FOIL in Reverse

7. How to Factor Quadratic Equations: FOIL in Reverse

So, you know how to multiply binomials with the FOIL method, but can you do it backwards? That's exactly what factoring is, and it can be pretty tricky. Check out this lesson to learn a method that will allow you to factor quadratic trinomials with a leading coefficient of 1.

How to Use the Quadratic Formula to Solve a Quadratic Equation

8. How to Use the Quadratic Formula to Solve a Quadratic Equation

When solving a quadratic equation by factoring doesn't work, the quadratic formula is here to save the day. Learn what it is and how to use it in this lesson.

How to Solve Quadratics That Are Not in Standard Form

9. How to Solve Quadratics That Are Not in Standard Form

It isn't always the case that your equation will be set up nicely for you to solve. In this lesson, learn how to factor or use the quadratic formula to solve quadratic equations, even when they are not in standard form.

How to Solve a Quadratic Equation by Factoring

10. How to Solve a Quadratic Equation by Factoring

If your favorite video game, 'Furious Fowls,' gave you the quadratic equation for each shot you made, would you be able to solve the equation to make sure every one hit its target? If not, you will after watching this video!

Completing the Square Practice Problems

11. Completing the Square Practice Problems

Completing the square is one of the most confusing things you'll be asked to do in an algebra class. Once you get the general idea, it's best to get in there and actually do a few practice problems to make sure you understand the process. Do that here!

Solving Quadratic Inequalities Using Two Binomials

12. Solving Quadratic Inequalities Using Two Binomials

Watch this video lesson to learn what simple steps you can take to solve quadratic inequalities using two binomials. See how it only requires a few steps to solve quadratic inequalities using this method.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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